A function has the following derivative values at : , ,

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

Problem

A function hh has the following derivative values at x=2x=2: h(2)=3h(2)=3, h′(2)=−1h'(2)=-1, h′′(2)=4h''(2)=4, and h(3)(2)=0h^{(3)}(2)=0. Determine the third-degree Taylor polynomial for hh centered at x=2x=2.

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