(adsbygoogle = window.adsbygoogle || []).push({}); a couple of "Infinite Series" questions...

Hi,

I'm trying to solve some problems in "Stroud's Engg mathematics"....

I'm stuck with these 2 questions:

Σ (r=0→∞) (2r) / (r+1)!

and

Σ (r=0→n) (2r-1) / r(r+1)(r+2)

the 1st question converges to 2. My 1st try is divide everything the numerator and denominator by r, but I cannot show that (r+1)!/r converges to 1. (or am I missing something?)

for the second question, I was asked to derive a formula for getting the sum for n terms of the series. I'm clueless where to start.

Any help greatly appreciated.

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# A couple of Infinite Series questions

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