The third-degree Taylor polynomial for a function about is P_3(x)=7-4x+ 5 2 x^ 2 - 3…

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

Problem

The third-degree Taylor polynomial for a function hh about x=0x=0 is P3(x)=7−4x+52x2−36x3.P_3(x)=7-4x+\frac{5}{2}x^{2}-\frac{3}{6}x^{3}. What is h′′′(0)h'''(0)? (a) −12-\dfrac12 (b) −32-\dfrac32 (c) −3-3 (d) 33

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