Consider . At , for which of the following values of does the Maclaurin series for…

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

Problem

Consider h(x)=11−kxh(x)=\dfrac{1}{1-kx}. At x=0.6x=0.6, for which of the following values of kk does the Maclaurin series for hh converge? (a) k=53k=\dfrac{5}{3} (b) k=1.4k=1.4 (c) k=1.7k=1.7 (d) k=−1.9k=-1.9

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