Does ∑ n = 2 ∞ ( n ln ⁡ n ) − 1 diverge?This...

tripes3h

tripes3h

Answered

2022-07-12

Does n = 2 ( n ln n ) 1 diverge?
This seems like elementary calculus, but I can't figure this out. Can anyone supply a hint?

Answer & Explanation

amanhantmk

amanhantmk

Expert

2022-07-13Added 17 answers

HINT: Use the integral test: what happens to
2 d x x ln x ?
Ciara Mcdaniel

Ciara Mcdaniel

Expert

2022-07-14Added 4 answers

Hint.
n = 2 N 2 N + 1 1 1 n ln n 2 N ( N + 1 ) 2 N + 1 = 1 2 ( N + 1 )

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