what is the value of $f'(1)$?$lim_x to +infty fracln(x)x$ using Taylor seriesWhat is the limsup of the following sequence of sets?Find the value of $lambda$Prove that exists $lim_xrightarrow infty fracf(x)x$ and determine its valuefind the value of $lim_n rightarrow inftyfrac1s_nsum_i=1^na_ix_i$What is the limit of the following sequencehow to find the value of $alpha $ the given series is converge ..Show the series $sum fracx^n(2n)!$ is covergent for all $xinmathbb R$How can I find $lim_nrightarrowinfty(1+fracxn)^sqrtn$?Using the logarithm, find $lim_nrightarrow infty n^1/n$
Lied on resume at previous job
How do I create uniquely male characters?
Why airport relocation isn't done gradually?
How would photo IDs work for shapeshifters?
Where to refill my bottle in India?
Why do we use polarized capacitors?
Is a vector space a subspace?
What happens when a metallic dragon and a chromatic dragon mate?
Patience, young "Padovan"
What to wear for invited talk in Canada
What is the meaning of "of trouble" in the following sentence?
What does "enim et" mean?
Could Giant Ground Sloths have been a good pack animal for the ancient Mayans?
How to answer pointed "are you quitting" questioning when I don't want them to suspect
Can I find out the caloric content of bread by dehydrating it?
What do you call something that goes against the spirit of the law, but is legal when interpreting the law to the letter?
Re-submission of rejected manuscript without informing co-authors
Typesetting a double Over Dot on top of a symbol
Ideas for 3rd eye abilities
Unbreakable Formation vs. Cry of the Carnarium
How can I add custom success page
How did the USSR manage to innovate in an environment characterized by government censorship and high bureaucracy?
Where else does the Shulchan Aruch quote an authority by name?
How could a lack of term limits lead to a "dictatorship?"
what is the value of $f'(1)$?
$lim_x to +infty fracln(x)x$ using Taylor seriesWhat is the limsup of the following sequence of sets?Find the value of $lambda$Prove that exists $lim_xrightarrow infty fracf(x)x$ and determine its valuefind the value of $lim_n rightarrow inftyfrac1s_nsum_i=1^na_ix_i$What is the limit of the following sequencehow to find the value of $alpha $ the given series is converge ..Show the series $sum fracx^n(2n)!$ is covergent for all $xinmathbb R$How can I find $lim_nrightarrowinfty(1+fracxn)^sqrtn$?Using the logarithm, find $lim_nrightarrow infty n^1/n$
$begingroup$
what is the value of $f'(1)$ ?
$lim_n rightarrow infty frac(1+ 1/n)^m -1 1+ 1/n -1$
i know that $f'(1)=frac(1+ 1/n)^m -1 1+ 1/n -1=frac(1+ 1/n)^m -1 1/n $
but here im confused how can i find the value of $f'(1)$ ?
real-analysis
asked Mar 22 at 14:48
jasminejasmine
1,955420
$endgroup$
add a comment |
$begingroup$
what is the value of $f'(1)$ ?
$lim_n rightarrow infty frac(1+ 1/n)^m -1 1+ 1/n -1$
i know that $f'(1)=frac(1+ 1/n)^m -1 1+ 1/n -1=frac(1+ 1/n)^m -1 1/n $
but here im confused how can i find the value of $f'(1)$ ?
real-analysis
asked Mar 22 at 14:48
jasminejasmine
1,955420
$endgroup$
1
$begingroup$
What is $f$ here?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:51
$begingroup$
@Dr.SonnhardGraubner see umberto answer
$endgroup$
– jasmine
Mar 22 at 14:54
1
$begingroup$
So is this the answer for which you looking for?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:55
$begingroup$
ya,,,,exactly @Dr.SonnhardGraubner
$endgroup$
– jasmine
Mar 22 at 14:56
add a comment |
$begingroup$
what is the value of $f'(1)$ ?
$lim_n rightarrow infty frac(1+ 1/n)^m -1 1+ 1/n -1$
i know that $f'(1)=frac(1+ 1/n)^m -1 1+ 1/n -1=frac(1+ 1/n)^m -1 1/n $
but here im confused how can i find the value of $f'(1)$ ?
real-analysis
asked Mar 22 at 14:48
jasminejasmine
1,955420
$endgroup$
what is the value of $f'(1)$ ?
$lim_n rightarrow infty frac(1+ 1/n)^m -1 1+ 1/n -1$
i know that $f'(1)=frac(1+ 1/n)^m -1 1+ 1/n -1=frac(1+ 1/n)^m -1 1/n $
but here im confused how can i find the value of $f'(1)$ ?
real-analysis
real-analysis
asked Mar 22 at 14:48
jasminejasmine
1,955420
asked Mar 22 at 14:48
jasminejasmine
1,955420
asked Mar 22 at 14:48
jasminejasmine
1,955420
asked Mar 22 at 14:48
jasminejasmine
1,955420
asked Mar 22 at 14:48
jasminejasmine
1,955420
1,955420
1
$begingroup$
What is $f$ here?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:51
$begingroup$
@Dr.SonnhardGraubner see umberto answer
$endgroup$
– jasmine
Mar 22 at 14:54
1
$begingroup$
So is this the answer for which you looking for?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:55
$begingroup$
ya,,,,exactly @Dr.SonnhardGraubner
$endgroup$
– jasmine
Mar 22 at 14:56
add a comment |
1
$begingroup$
What is $f$ here?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:51
$begingroup$
@Dr.SonnhardGraubner see umberto answer
$endgroup$
– jasmine
Mar 22 at 14:54
1
$begingroup$
So is this the answer for which you looking for?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:55
$begingroup$
ya,,,,exactly @Dr.SonnhardGraubner
$endgroup$
– jasmine
Mar 22 at 14:56
1
1
$begingroup$
What is $f$ here?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:51
$begingroup$
What is $f$ here?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:51
$begingroup$
@Dr.SonnhardGraubner see umberto answer
$endgroup$
– jasmine
Mar 22 at 14:54
$begingroup$
@Dr.SonnhardGraubner see umberto answer
$endgroup$
– jasmine
Mar 22 at 14:54
1
1
$begingroup$
So is this the answer for which you looking for?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:55
$begingroup$
So is this the answer for which you looking for?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:55
$begingroup$
ya,,,,exactly @Dr.SonnhardGraubner
$endgroup$
– jasmine
Mar 22 at 14:56
$begingroup$
ya,,,,exactly @Dr.SonnhardGraubner
$endgroup$
– jasmine
Mar 22 at 14:56
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
It looks like $f(x) = x^m$ and you are evaluating the limit $$f'(x) = lim_x to 1fracf(x) - f(1)x-1.$$
Since $f'(x) = mx^m-1$ (which is hopefully known) you get $f'(1) = m$.
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
$endgroup$
$begingroup$
thanks u @Umberto
$endgroup$
– jasmine
Mar 22 at 14:53
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3158231%2fwhat-is-the-value-of-f1%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
It looks like $f(x) = x^m$ and you are evaluating the limit $$f'(x) = lim_x to 1fracf(x) - f(1)x-1.$$
Since $f'(x) = mx^m-1$ (which is hopefully known) you get $f'(1) = m$.
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
$endgroup$
$begingroup$
thanks u @Umberto
$endgroup$
– jasmine
Mar 22 at 14:53
add a comment |
$begingroup$
It looks like $f(x) = x^m$ and you are evaluating the limit $$f'(x) = lim_x to 1fracf(x) - f(1)x-1.$$
Since $f'(x) = mx^m-1$ (which is hopefully known) you get $f'(1) = m$.
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
$endgroup$
$begingroup$
thanks u @Umberto
$endgroup$
– jasmine
Mar 22 at 14:53
add a comment |
$begingroup$
It looks like $f(x) = x^m$ and you are evaluating the limit $$f'(x) = lim_x to 1fracf(x) - f(1)x-1.$$
Since $f'(x) = mx^m-1$ (which is hopefully known) you get $f'(1) = m$.
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
$endgroup$
It looks like $f(x) = x^m$ and you are evaluating the limit $$f'(x) = lim_x to 1fracf(x) - f(1)x-1.$$
Since $f'(x) = mx^m-1$ (which is hopefully known) you get $f'(1) = m$.
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
answered Mar 22 at 14:52
Umberto P.Umberto P.
40.3k13370
40.3k13370
$begingroup$
thanks u @Umberto
$endgroup$
– jasmine
Mar 22 at 14:53
add a comment |
$begingroup$
thanks u @Umberto
$endgroup$
– jasmine
Mar 22 at 14:53
$begingroup$
thanks u @Umberto
$endgroup$
– jasmine
Mar 22 at 14:53
$begingroup$
thanks u @Umberto
$endgroup$
– jasmine
Mar 22 at 14:53
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3158231%2fwhat-is-the-value-of-f1%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
$begingroup$
What is $f$ here?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:51
$begingroup$
@Dr.SonnhardGraubner see umberto answer
$endgroup$
– jasmine
Mar 22 at 14:54
1
$begingroup$
So is this the answer for which you looking for?
$endgroup$
– Dr. Sonnhard Graubner
Mar 22 at 14:55
$begingroup$
ya,,,,exactly @Dr.SonnhardGraubner
$endgroup$
– jasmine
Mar 22 at 14:56