help me in Mathematica

**nice rose** · May 18th 2010, 12:26 AM

how to find that summation by Mathematica Wolfram

$\sum_{x\in A} \sin(\pi x)$

$A={{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},........ .}}$

**undefined** · May 18th 2010, 01:24 AM

Originally Posted by nice rose

how to find that summation by Mathematica Wolfram

$\sum_{x\in A} \sin(\pi x)$

$A={{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},........ .}}$

Input: Sum[Sin[Pi/n], {n, 1, Infinity}].

Message: Sum::div: Sum does not converge.

**CaptainBlack** · May 18th 2010, 01:26 AM

Originally Posted by nice rose

how to find that summation by Mathematica Wolfram

$\sum_{x\in A} \sin(\pi x)$

$A={{1,\frac{1}{2},\frac{1}{3},\frac{1}{4},........ .}}$

Since for small $u$ we have $\sin(u)\approx u$ this is obviously not convergent as the tail of the sum behaves like the harmonic series which is known to be divergent.
.

CB

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