CPM Homework Help : CALC Problem 11-115

Multiple Choice: The graph of $f ( x ) = x - \frac { x ^ { 3 } } { 6 } + \frac { x ^ { 5 } } { 120 } - \frac { x ^ { 7 } } { 5040 } + \frac { x ^ { 9 } } { 362880 } -...$ bestapproximates which function near $x = 0$ ?

$f(x) = x^2$

$f(x) = e^x$

$f(x) =\operatorname{sin} x$

$f(x) =\operatorname{cos} x$

Hint:

Notice that the given polynomial function is odd.