Use the Ratio Test or the Root Test to determine the values of x for which the series converges.

Summation from k equals $1$ to infinity StartFraction $2$ x Superscript k Over $5$ k cubed EndFraction$$k$=1$$2$xk$5$k$3$

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Part $1$

Select the correct choice below$$ and, if$$ necessary, fill in the answer box to complete your choice.

A$.$

The series converges only when

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