- #1
RJLiberator
Gold Member
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Homework Statement
Find the sum of
starts at 0 to infinity ∑ (cos(k*pi))/pi^k
First, I determined that it does, indeed, converge with the alternating series test.
Second, I found the answer to be pi/(1+pi) via wolfram alpha.
But I am at a loss on how to find the answer here.
This is a geometric series, so I am trying to find the r value. If I can do that, then I can use the trick of first term/(1-r)
Correct?