Question

Which of the following is a Maclaurin Series for $f(x) = e^{-x^2}$? $\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{(2n)!}$ $\sum_{n=0}^{\infty} \frac{-x^{n+2}}{n!}$ $\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{n!}$ $\sum_{n=0}^{\infty} \frac{x^{2n}}{n!}$ $\sum_{n=0}^{\infty} \frac{x^{2n}}{(2n)!}$

          Which of the following is a Maclaurin Series for $f(x) = e^{-x^2}$?
$\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{(2n)!}$
$\sum_{n=0}^{\infty} \frac{-x^{n+2}}{n!}$
$\sum_{n=0}^{\infty} \frac{(-1)^n x^{2n}}{n!}$
$\sum_{n=0}^{\infty} \frac{x^{2n}}{n!}$
$\sum_{n=0}^{\infty} \frac{x^{2n}}{(2n)!}$

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Which of the following is a Maclaurin Series for f(x) = e^-x^2?
∑n=0^∞((-1)^n x^2n)/((2n)!)
∑n=0^∞(-x^n+2)/(n!)
∑n=0^∞((-1)^n x^2n)/(n!)
∑n=0^∞(x^2n)/(n!)
∑n=0^∞(x^2n)/((2n)!)

Added by Maria A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

05/28/2022

Step 1

Step 1: Recall the Maclaurin series for e^t: e^t = sum_{n=0}^∞ t^n / n!. Show more…

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O W! -12n (2n)! -xn+2 iM n! (-1nx2n M n! Wi M

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