Determine the radius of convergence of the power series:

Test for convergence at the boundary points if is finite.

Let . Then,

Thus, the radius of convergence is , and the series converges for such that .

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Stumbling Robot

A Fraction of a Dot
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Determine the radius of convergence of *∑ (3*^{n1/2} z^{n} / n)

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Determine the radius of convergence of the power series:

Test for convergence at the boundary points if is finite.

Let . Then,

Thus, the radius of convergence is , and the series converges for such that .

It diverges in the boundary points in comparison to 1/n