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Mathematics 22 Online
OpenStudy (anonymous):

How do you show that ln(sqrt2) = 1/2-1/4+1/6-1/8+1/10-1/12... by integrating both sides of the equation 1/(1-x)=1+x+x^2+x^3+x^4+x^5.... and evaluating the limit at a particular value of x. Is there a way to do this without halving the series for ln2?

OpenStudy (anonymous):

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