please help very frusterated with this Approximation problem

[jvang122]

Please explain your thoughts beyond solving this if you can:

Approximate the series with an error of 4 decimal places (ie. 0.00001)

\(\displaystyle \sum Sin^2(n)/(n^5)\) from 1 to infinity

Im not sure how to solve and not sure cant take the integral

please help

 

[Bob Brown MSEE]

Note that Sin²​x < 1 for all x

 

[lookagain]

Note that Sin²​x < 1 for all x

\(\displaystyle sin^2(x) \ \le \ 1 \ \ \ for \ \ all \ \ real \ \ x\)