Saturday, 7 December 2013

calculus - Does the series sumlimitsinftyn=1ntanleft(fracpi2n+1right) converge or diverge?



Does the series n=1ntan(π2n+1) converge or diverge? My idea was to use the limit comparison test and n=1n2n, but then I don't know what to do with the tangent which in the limit is 0.


Answer



Hint: note that
lim



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