What is the sum from n=1 to infinity of (n/(n+7))^n ?

The sum from n=1 to infinity of (n/(n+7))^n is diverges

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sum from n=1 to infinity of (n/(n+7))^n

n = 1 \sum \infty (\frac{n}{n + 7})^{n}

diverges

Solution steps

n = 1 \sum \infty (\frac{n}{n + 7})^{n}

Apply Series Divergence Test:

diverges

= diverges

\int_{0}^{1} x \cdot arcsin (x^{2}) d x

x \to + 3 lim (π)

\int \frac{6 x ^{3} + 3 x ^{2} - 47 x - 18}{x ^{2} - 9} d x

x \to 1 lim (\frac{arctan ( x ) - \frac{π}{4}}{x - 1})

\int_{- r}^{r} π (r^{2} - x^{2}) d x

What is the sum from n=1 to infinity of (n/(n+7))^n ?
The sum from n=1 to infinity of (n/(n+7))^n is diverges