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Course: AP??/College Calculus BC?>?Unit 10

Lesson 15: Representing functions as power series

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Integrals & derivatives of functions with known power series

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g (x) = \frac{4}{1 ? 2 x}

We know that

g (x) = 4 + 8 x + 16 x^{2} + 32 x^{3} + …

for

x \in (? \frac{1}{2}, \frac{1}{2})

.

Using this fact, find the power series for $f (x) = \frac{8}{(1 ? 2 x)^{2}}$ ?.

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