The fourth-degree polynomial approximates

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

Problem

The fourth-degree polynomial

P_4(x)=1+x+\dfrac{x^{2}}{2}+\dfrac{x^{3}}{6}+\dfrac{x^{4}}{24}

approximates

e^{x}

. Evaluate

P_4(0.2)

to four decimal places.