Determine whether the following series converges: sum_(k = 1)^oo (2/(k + 5)^3

pedzenekO

pedzenekO

Answered question

2021-08-20

Determine whether the following series converges: k=1(2(k+5)3).

Answer & Explanation

hesgidiauE

hesgidiauE

Skilled2021-08-21Added 106 answers

k=1(2(k+5)3)
limk(ak)=lim(k5)5(2(k+5)3)=9=0
The limit of the terms of the series is 0, so the series diverges by the divergent test.

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