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

The sum from n=0 to infinity of ((3x)^n)/n is Interval of convergence is-1/3 <= x< 1/3

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

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

Interval of convergence is - \frac{1}{3} \leq x < \frac{1}{3}

Solution steps

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

Use the Ratio Test to compute the convergence interval

Interval of convergence is - \frac{1}{3} \leq x < \frac{1}{3}

x \to 3 lim (9)

x y^{^{'}} = 3 (x + y)

1.0 3^{x}

f (x) = 2 sin (3 x)

\frac{\partial}{\partial y} (cos (x y) + x z^{2})

What is the sum from n=0 to infinity of ((3x)^n)/n ?
The sum from n=0 to infinity of ((3x)^n)/n is Interval of convergence is-1/3 <= x< 1/3