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## Homework Statement

Expand ##(1+3x-4x^2)^{0.5}/(1-2x)^2## find its convergence value

## Homework Equations

## The Attempt at a Solution

on expansion

##(1+3/2x-3.125x^2+4.6875x^3+...)(1+4x+12x^2+32x^3+...)##

##1+5.5x+14.875x^2+42.1875x^3+... ##

how do i prove for convergence here?