Use Ratio test to find convergence of $\sum_{k=1}^\infty \frac{3x^k}{k^3}$

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"Use the Ratio Test to determine the values of x greater than or equals $x ≥ 0$ for which the series converges." $$\sum_{k=1}^\infty \frac{3x^k}{k^3}$$

I'm having trouble with the x variable. After setting up the ratio and canceling out terms I've gotten to this point but now i'm stuck:$$\frac{xk^3}{(k+1)^3}$$ The answer is has the series converging for $x<1$ but i'm not understanding how.

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$$\frac{xk^3}{(k+1)^3}=\frac{x}{(1+\frac{1}{k})^3}$$