Question

Determine whether the following series converge or diverge.

Determine whether the following series converge or diverge.

\sum_{k=1}^{\infty }ln(\frac{2k^6}{1+k^6})

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Answer #1

For the series to be convergent, lim an = 0 n +00 2k6 2k6 lim In- = In 2 + 0 1 + k6 = ln lim- F = k-01 + ko In lim – k→001 +

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