009C Sample Final 2, Problem 7

a) Consider the function $f(x)={\bigg (}1-{\frac {1}{2}}x{\bigg )}^{-2}.$ Find the first three terms of its Binomial Series.

b) Find its radius of convergence.

Foundations:

Solution:

(a)

Step 1:

Step 2:

(b)

Step 1:

Step 2:

Final Answer:
(a)
(b)

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