What is the sum from n=0 to infinity of ((4pi)/e)^n ?

The sum from n=0 to infinity of ((4pi)/e)^n is diverges

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sum from n=0 to infinity of ((4pi)/e)^n

n = 0 \sum \infty (\frac{4 π}{e})^{n}

diverges

Solution steps

n = 0 \sum \infty (\frac{4 π}{e})^{n}

Apply Series Geometric Test:

diverges

= diverges

k = 0 \sum \infty \frac{k}{3 k + 1}

n = 0 \sum \infty (\frac{8}{7})^{n}

x = 0 \sum \infty \frac{x}{2 x + 1}

n = 0 \sum \infty arctan (\frac{π}{4})

k = 1 \sum \infty k e^{- 4 k}

What is the sum from n=0 to infinity of ((4pi)/e)^n ?
The sum from n=0 to infinity of ((4pi)/e)^n is diverges