The function can be expressed as a power series centered at

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The function k(x)=14−xk(x)=\dfrac{1}{4-x} can be expressed as a power series centered at x=0x=0. Identify the expression that serves as the common ratio and write the inequality that xx must satisfy for the series to converge.

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