Let . Determine the interval of convergence for the power series representation of…

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Let g(x)=12−5xg(x)=\dfrac{1}{2-5x}. Determine the interval of convergence for the power series representation of gg about x=0x=0. (a) (−0.2,0.2)(-0.2,0.2) (b) [−0.4,0.4][-0.4,0.4] (c) (−0.4,0.4)(-0.4,0.4) (d) (−∞,0.4)(-\infty,0.4)

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