CPM Homework Help : APCALC Problem 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 $x = 0$ ?

$f(x) = x^2$

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

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

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

Hint:

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

More Help:

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