Determine the Taylor series for the function $f(x) = e^x$ centered at $x = -1$ and find its interval of convergence.
Select the correct answer below:
$e^x = \sum_{n=0}^{\infty} \frac{(x - 1)^n}{n!}$
Interval of convergence: $(-\infty, \infty)$.
$e^x = \sum_{n=0}^{\infty} \frac{(x + 1)^n}{n!}$
Interval of convergence: $(-\infty, \infty)$.
$e^x = \sum_{n=0}^{\infty} \frac{(x + 1)^n}{e n!}$
Interval of convergence: $(-\infty, \infty)$.
$e^x = \sum_{n=0}^{\infty} \frac{(x + 1)^n}{n!}$
Interval of convergence: $(-\infty, \infty)$.
