Calculus Examples

$lim_{x \to 0} x^{2} = 0$

Step 1

Move the exponent $2$ from $x^{2}$ outside the limit using the Limits Power Rule.

${(lim_{x \to 0} x)}^{2} = 0$

Step 2

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

$0^{2} = 0$

Step 3

Raising $0$ to any positive power yields $0$ .

$0 = 0$