What is the sum from n=0 to infinity of (ln(3))^n ?

The sum from n=0 to infinity of (ln(3))^n is diverges

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sum from n=0 to infinity of (ln(3))^n

n = 0 \sum \infty (ln (3))^{n}

diverges

Solution steps

n = 0 \sum \infty (ln (3))^{n}

Simplify

= n = 0 \sum \infty ln^{n} (3)

Apply Series Geometric Test:

diverges

= diverges

\int \frac{1}{( x - 9 ) ( x ^{2} + 16 )} d x

\frac{d}{d x} (\frac{x ^{2} + 5}{x - 2})

(6 - 2 x^{2})^{3}

n = 0 \sum \infty n (\frac{3}{5})^{n}

25 x^{2} y^{^{''}} + 25 x y^{^{'}} + y = 0

What is the sum from n=0 to infinity of (ln(3))^n ?
The sum from n=0 to infinity of (ln(3))^n is diverges