Radius of Convergence - Maple Programming Help

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Radius of Convergence

	Description
	Determine the radius of convergence of a power series.

Ratio-Test Method for Radius of Convergence of $\sum_{k}^{\infty} a_{k} x^{r k + λ},$ $r$ and $λ$ fixed integers, $r$ and $a_{k}$ positive:

General term $a_{k}$

>	$\frac{1}{k &excl;}$

$\frac{1}{k &excl;}$

(1)

Enter $r$ , the coefficient of $k$ in the power of $x$ in the general term:

$2$

(2)

Radius of Convergence

>	$\sqrt[]{\lim_{k \to \infty} (eval (, k = k + 1))}$

$\infty$

(3)

	Commands Used
	eval, limit

	See Also
	sum, taylor

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