APFIVE Identifying a Function from a Maclaurin Series
The Maclaurin series for a function $$f$$ is given by $$\displaystyle 1 + \frac{x^2}{2!} + \frac{x^4}{4!} + \frac{x^6}{6!} + \cdots + \frac{x^{2n}}{(2n)!} + \cdots$$. Which of the following is an expression for $$f(x)$$?
A
$$e^{x^2}$$
B
$$e^x - \sin x$$
C
$$\cos x$$
D
$$\frac{1}{2}(e^x + e^{-x})$$
Question Leaderboard
Not enough data yet to show leaderboard.