- #1
ohpoonet
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Homework Statement
Hi. Find the sum of the first 10 terms in the series:
1, (ln2)/1!, (ln2)^2/2!, (ln^3)/3!...
Homework Equations
I guess the Maclaurin series, which is e^k = 1, k/1!, (k^2)/2!, (k^3)/3!...
In my case, k = ln2.
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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