Wednesday, 13 March 2019

Convergence and sum of an infinite series: suminftyi=1frac624i4i235

Determine whether the following series is convergent or divergent. If convergent, find the sum.
i=1624i4i235



Since the limit of the series is zero, I know that it is not divergent (divergence test).



How do i prove that the series is convergent, and futhermore, find the sum?



I rewrote the series (using partial fraction decomposition) as:




i=1624i4i235=i=111/4i10((1/4i7))



But I don't know what to do from here.

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