What is the sum from n=1 to infinity of (n^n)/(n+3) ?

The sum from n=1 to infinity of (n^n)/(n+3) is diverges

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sum from n=1 to infinity of (n^n)/(n+3)

n = 1 \sum \infty \frac{n ^{n}}{n + 3}

diverges

Solution steps

n = 1 \sum \infty \frac{n ^{n}}{n + 3}

Apply Series Root Test:

diverges

= diverges

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What is the sum from n=1 to infinity of (n^n)/(n+3) ?
The sum from n=1 to infinity of (n^n)/(n+3) is diverges