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Limit of sum of alternating inverses
It came to me: Its because this is the Taylor series for the natural logarithm. I ended up calculating it numerically. The answer is ln(2). But I don't know why. What does the following limit evaluate to and why:
Limit (n->inf) of 1/1 - 1/2 + 1/3 - 1/4 .... + 1/n
?
It's bugging me.Limit of sum of alternating inverses
