Calculus Examples

$\frac{lim_{x \to 0} e^{x}}{4 x^{3}}$

Step 1

Move the limit into the exponent.

$\frac{e^{lim_{x \to 0} x}}{4 x^{3}}$

Step 2

Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$\frac{e^{0}}{4 x^{3}}$

Step 3

Anything raised to $0$ is $1$ .

$\frac{1}{4 x^{3}}$