Home > APCALC > Chapter 11 > Lesson 11.1.3 > Problem11-36

11-36.

Multiple Choice: The graph of $1 + x + \frac { x ^ { 2 } } { 2 ! } + \frac { x ^ { 3 } } { 3 ! } + \frac { x ^ { 4 } } { 4 ! } +$ best approximates which function near $x = 0$?

1. $f(x) = x^2$

1. $f\left(x\right) = e^{x}$

1. $f(x) = \sin(x)$

1. $f(x) = \cos(x)$

$f\left(0\right) = 1$
Which choices match this situation?

$f′\left(0\right) = 1$
Which choice matches this situation?