Consider the power series V(x) = _ n=1 ^ x^n n ,4^n in a dimensionless variable

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Mathematical Methods for Physics, Ch Series, limits and controlled approximation

Problem

Consider the power series

V(x) = \sum_{n=1}^{\infty} \frac{x^n}{n\,4^n}

in a dimensionless variable

x

. Find the radius of convergence

R_{\mathrm{c}}

of this series.

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