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(a) Use differentiation to find a power series representation for $f(x) = \frac {1}{(1 + x)^2}$What is the radius of convergence?(b) Use part (a) to find a power series for $f(x) = \frac {1}{(1 + x)^3}$(c) Use part (b) to find a power series for $f(x) = \frac {x^2}{(1 + x)^3}$

a. $(-1)^{n+2}=(-1)^{n}$b. $R=1$c. $R=1$

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University of Illinois at Urbana-Champaign

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Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Lectures

Join Bootcamp