Calculus Examples

$lim_{x \to 0} 1 x^{2}$

Step 1

Evaluate the limit.

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Step 1.1

Multiply $x^{2}$ by $1$ .

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

Step 1.2

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

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

Step 2

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

$0^{2}$

Step 3

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

$0$