What Is the Smallest Value of N That Will Guarantee $T _ { n }$

Multiple Choice

What is the smallest value of n that will guarantee (according to Taylor's Formula) that the Taylor polynomial $T _ { n }$ at the number 0 will be within 0.0001 of $e ^ { x }$ for $0 \leq x \leq 1$ ?

A) 4
B) 5
C) 8
D) 6
E) 7
F) 2
G) 3
H) 9