(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the exact sum of the series:

1/1!3 + 1/2!4 + ... + 1/n!(n+2)

2. Relevant equations

3. The attempt at a solution

The only series I know that look like this are e^x and ln(x) (centered at x = 1). But I do not know how to combine them and I'm not even sure if that's what I'm supposed to do.

e^x = 1 + x + x^2/2! + ... + x^n/n!

ln(x) = (x-1) -(1/2)(x-1)^2 + (1/3)(x-1)^3 ...

ln(x) is missing the factorials and has alternating signs. I tried messing around with its input value but to no avail.

Any help would be appreciated.

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# Homework Help: A sum of a series problem

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