009C Sample Final 2, Problem 7
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(a) Consider the function Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=\bigg(1-\frac{1}{2}x\bigg)^{-2}.} Find the first three terms of its Binomial Series.
(b) Find its radius of convergence.