- #1
anthony.g2013
- 11
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Homework Statement
Is there a real number c such that the series:
∑ (e - (1+ 1/n)^n + c/n), where the series goes from n=1 to n=∞, is convergent?
The Attempt at a Solution
I used the ratio test by separating each term of the function as usual to find a radius of convergence, but that doesn't seem to work. One can observe though that limit as n→∞, (1 + 1/n)^n = e. But don't know how I can use that in solving this question.
Thanks.
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