(Steps Shown) Express the function as the sum of a power series by first using ∂ fractions. Find the interval of convergence.


Question: Express the function as the sum of a power series by first using partial fractions. Find the interval of convergence.

\[f\left( x \right)=\frac{x+2}{\left( 2x+1 \right)\left( x-1 \right)}\]

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