Is ∑ n = 2 ∞ log ⁡ ( 1 + ( − 1 )...

smekkinnZuG

smekkinnZuG

Answered

2022-11-25

Is
n = 2 log ( 1 + ( 1 ) n n )
convergent?

Answer & Explanation

Teagan Gamble

Teagan Gamble

Expert

2022-11-26Added 8 answers

log ( 1 + ( 1 ) n n ) = ( 1 ) n n 1 2 n + O ( 1 n n )
and since the series n ( 1 ) n n and n 1 n n are convergent and the series n 1 n is divergent then the given series is divergent.

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