Calculus Examples

$lim_{x \to 0} x^{e}$

Step 1

Move the exponent $e$ from $x^{e}$ outside the limit using the Limits Power Rule.

${(lim_{x \to 0} x)}^{e}$

Step 2

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

$0^{e}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$0^{e}$

Decimal Form:

$0$