Let be a power series with positive radius of convergence .

MATHEMATICS · Multi-part · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let f(x)=∑n=0∞an(x−r)nf(x)=\displaystyle\sum_{n=0}^{\infty}a_n(x-r)^n be a power series with positive radius of convergence ρ\rho. (1) Part (a) (2) Part (b) (3) Part (c) (4) Part (d)

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