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November 6th, 2016, 01:43 PM   #1
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These summations are equal?

Hello,
These summation is the same?
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November 6th, 2016, 02:15 PM   #2
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No. $\displaystyle \sum_k kq^k$ converges for |q| < 1. $\displaystyle \sum_k k \sum_k q^k$ diverges for all q (not = 0).
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