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Homework Statement
sum of tan(1/n)/(1+n) for n=1 to infinity
Homework Equations
The Attempt at a Solution
I tried using the ratio test and the comparison/limit comparison tests but can't think on anything to compare it to.
Are you sure about that? What does tan(x) approach as x approaches pi/2 from the left?I'm far from a math wiz, but here's how I see it:
tan(x) will always be between -1 and 1,
The SEQUENCE with general term 1/n converges, does the series?and you know that 1/n converges...so by comparison, tan(1/n)/(1+n) must also converge