The following series sum_(k=0)^oo 1/k^5 is: a) alternating series



Answered question


The following series k=01k5 is:
a) alternating series
b) convergent p-series
c) divergent p-series
d) geometric series

Answer & Explanation

Isma Jimenez

Isma Jimenez

Skilled2021-08-15Added 84 answers

This series is convergent p-series.
Since k=01k5 converges for p>1 and diverges for p1
So compare this then: p=5>1
Thus, given series converges by p-series test.

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