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How should I solve this limits of a series which goes to infinity


Limits - trigonometry - tending to infinityTaylor limits at infinityHow find this limits with hardly form?If $t=tanhfracx2$, prove that $sinh x = frac2t1-t^2$ and $cosh x = frac1+t^21-t^2$.Find the limit as x approaches infinityEvaluating a complex limitHow to solve the following result in integration?How do we prove this asymptotic relation $limlimits_krightarrow inftyG(k)=sqrt2$Infinity - Infinity indetermination in limitsHow to solve this complex limits at infinity with trig?













1












$begingroup$


How can I determinate




$$lim_nto inftyfracsum_i=1^nsinhbig(fracinbig)sum_i=1^ncoshbig(fracinbig)$$




I can't solve how should I solve this?
Thank you.
enter image description here










share|cite|improve this question









New contributor




khoshrang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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$endgroup$











  • $begingroup$
    Welcome to MSE. Please don't post picture when you can type the matter as in this case. Pictures cannot be browsed. The picture I see is too small to read. Also, if you don't include some context -- where does the problem from, how far have you gotten in solving it, etc. -- it is likely to be closed.
    $endgroup$
    – saulspatz
    Mar 9 at 15:27










  • $begingroup$
    thank you very much solved it!
    $endgroup$
    – khoshrang
    Mar 9 at 15:35















1












$begingroup$


How can I determinate




$$lim_nto inftyfracsum_i=1^nsinhbig(fracinbig)sum_i=1^ncoshbig(fracinbig)$$




I can't solve how should I solve this?
Thank you.
enter image description here










share|cite|improve this question









New contributor




khoshrang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • $begingroup$
    Welcome to MSE. Please don't post picture when you can type the matter as in this case. Pictures cannot be browsed. The picture I see is too small to read. Also, if you don't include some context -- where does the problem from, how far have you gotten in solving it, etc. -- it is likely to be closed.
    $endgroup$
    – saulspatz
    Mar 9 at 15:27










  • $begingroup$
    thank you very much solved it!
    $endgroup$
    – khoshrang
    Mar 9 at 15:35













1












1








1


1



$begingroup$


How can I determinate




$$lim_nto inftyfracsum_i=1^nsinhbig(fracinbig)sum_i=1^ncoshbig(fracinbig)$$




I can't solve how should I solve this?
Thank you.
enter image description here










share|cite|improve this question









New contributor




khoshrang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




How can I determinate




$$lim_nto inftyfracsum_i=1^nsinhbig(fracinbig)sum_i=1^ncoshbig(fracinbig)$$




I can't solve how should I solve this?
Thank you.
enter image description here







limits hyperbolic-functions






share|cite|improve this question









New contributor




khoshrang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




khoshrang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited 2 days ago









dantopa

6,62442245




6,62442245






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asked Mar 9 at 15:23









khoshrangkhoshrang

596




596




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New contributor





khoshrang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






khoshrang is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











  • $begingroup$
    Welcome to MSE. Please don't post picture when you can type the matter as in this case. Pictures cannot be browsed. The picture I see is too small to read. Also, if you don't include some context -- where does the problem from, how far have you gotten in solving it, etc. -- it is likely to be closed.
    $endgroup$
    – saulspatz
    Mar 9 at 15:27










  • $begingroup$
    thank you very much solved it!
    $endgroup$
    – khoshrang
    Mar 9 at 15:35
















  • $begingroup$
    Welcome to MSE. Please don't post picture when you can type the matter as in this case. Pictures cannot be browsed. The picture I see is too small to read. Also, if you don't include some context -- where does the problem from, how far have you gotten in solving it, etc. -- it is likely to be closed.
    $endgroup$
    – saulspatz
    Mar 9 at 15:27










  • $begingroup$
    thank you very much solved it!
    $endgroup$
    – khoshrang
    Mar 9 at 15:35















$begingroup$
Welcome to MSE. Please don't post picture when you can type the matter as in this case. Pictures cannot be browsed. The picture I see is too small to read. Also, if you don't include some context -- where does the problem from, how far have you gotten in solving it, etc. -- it is likely to be closed.
$endgroup$
– saulspatz
Mar 9 at 15:27




$begingroup$
Welcome to MSE. Please don't post picture when you can type the matter as in this case. Pictures cannot be browsed. The picture I see is too small to read. Also, if you don't include some context -- where does the problem from, how far have you gotten in solving it, etc. -- it is likely to be closed.
$endgroup$
– saulspatz
Mar 9 at 15:27












$begingroup$
thank you very much solved it!
$endgroup$
– khoshrang
Mar 9 at 15:35




$begingroup$
thank you very much solved it!
$endgroup$
– khoshrang
Mar 9 at 15:35










1 Answer
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Hint: Multiply numerator and denominator by $frac1n$ and you'll recognize two Riemann sums.






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    1 Answer
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    2












    $begingroup$

    Hint: Multiply numerator and denominator by $frac1n$ and you'll recognize two Riemann sums.






    share|cite|improve this answer









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      2












      $begingroup$

      Hint: Multiply numerator and denominator by $frac1n$ and you'll recognize two Riemann sums.






      share|cite|improve this answer









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        2












        2








        2





        $begingroup$

        Hint: Multiply numerator and denominator by $frac1n$ and you'll recognize two Riemann sums.






        share|cite|improve this answer









        $endgroup$



        Hint: Multiply numerator and denominator by $frac1n$ and you'll recognize two Riemann sums.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Mar 9 at 15:26









        Saucy O'PathSaucy O'Path

        6,1291627




        6,1291627




















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