(a) Consider the function f ( x ) = ( 1 − 1 2 x ) − 2 . {\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.
Solution:
(a)
(b)
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Find the first three terms of its Binomial Series.