Find the Taylor Series for the function $f(x)=e^{-6x}$ about x=-4.

Question

TuteeHUB · Accepted Answer

$\sum_{n=0}^{\infty} \frac{(-4)^n}{n!} e^{24} (x+4)^n$

TuteeHUB · Answer

$\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{12} (x+4)^n$

TuteeHUB · Answer

$\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{24} (x-4)^n$

TuteeHUB · Answer

$\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{24} (x+4)^n$

TuteeHUB · Answer

$\sum_{n=0}^{\infty} \frac{(-4)^n}{n!} e^{24} (x+4)^n$

1.	Find the Taylor Series for the function \(f(x)=e^{-6x}\) about x=-4.
A.	\(\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{12} (x+4)^n\)
B.	\(\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{24} (x-4)^n\)
C.	\(\sum_{n=0}^{\infty} \frac{(-6)^n}{n!} e^{24} (x+4)^n\)
D.	\(\sum_{n=0}^{\infty} \frac{(-4)^n}{n!} e^{24} (x+4)^n\)
Answer» D. \(\sum_{n=0}^{\infty} \frac{(-4)^n}{n!} e^{24} (x+4)^n\)

Find the Taylor Series for the function \(f(x)=e^{-6x}\) about x=-4.