Answer to Question #329581 in Calculus for Gabrielle

Question

9) Use your value of x to calculate a value for 𝑒𝑥 from the first four

terms.

X = 1

Answer 1

$e^x=\sum_{k=0}^{\infty}\frac{x^k}{k!}$

First 4 terms:

$e^x\approx 1+x+\frac{x^2}{2}+\frac{x^3}{6}$

For x = 1:

$e^1=e\approx1+1+\frac{1}{2}+\frac{1}{6}=\frac{16}{6}\approx2.67$