Tell whether the series converges or diverges. sum_(k = 1)^oo 5/(k + 4)^4

slaggingV

slaggingV

Answered question

2021-08-12

Tell whether the series converges or diverges.
k=15(k+4)4

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-08-13Added 88 answers

k=15(k+4)4
Put k+4n
So, n=55n4
From p-series test:
For series n=11np, if p> 1, series converges.
So, for series in equation 1
P = 4, so this series converges
The series is p-series with p = 4 and it converges.

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