What is the sum from n=0 to infinity of n+(-1)^n ?

The sum from n=0 to infinity of n+(-1)^n is diverges

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sum from n=0 to infinity of n+(-1)^n

n = 0 \sum \infty n + (- 1)^{n}

diverges

Solution steps

n = 0 \sum \infty n + (- 1)^{n}

Apply Series Divergence Test:

diverges

= diverges

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What is the sum from n=0 to infinity of n+(-1)^n ?
The sum from n=0 to infinity of n+(-1)^n is diverges