What is the sum from n=0 to infinity of \sqrt[n]{5} ?

The sum from n=0 to infinity of \sqrt[n]{5} is diverges

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sum from n=0 to infinity of \sqrt[n]{5}

n = 0 \sum \infty n 5

diverges

Solution steps

n = 1 \sum \infty n 5

Apply Series Divergence Test:

diverges

= diverges

\int_{0}^{x} \frac{1}{0.2 x + 10} d x

1 - x^{2}

\int \frac{3 x + 1}{4 - x ^{2}} d x

\int_{0}^{6} \frac{6 x}{1 + x ^{2}} d x

(x + 5) (7 x + 3)

What is the sum from n=0 to infinity of \sqrt[n]{5} ?
The sum from n=0 to infinity of \sqrt[n]{5} is diverges