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

Hi. Find the sum of the first 10 terms in the series:

1, (ln2)/1!, (ln2)^2/2!, (ln^3)/3!...

2. Relevant equations

I guess the Maclaurin series, which is e^k = 1, k/1!, (k^2)/2!, (k^3)/3!....

In my case, k = ln2.

3. The attempt at a solution

I tried to use the sum of the first n terms Sn = (u1(r^n -1))/(r-1). However I cannot find r because it is not constant.

I realize if you replace k with ln2, you get e^(ln2) = 2 = 1 + k/1! + (k^2)/2!....So the series approaches 2.

As a last resort I will go caveman style and add up all terms from 0-10. That's a lot of decimals, so if anyone can help, it will be appreciated.

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# Homework Help: Finding the sum of finite terms of a Maclaurin series

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