Precalculus Examples

$lim_{x \to 2} 4 x^{3}$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $4$ outside of the limit because it is constant with respect to $x$ .

$4 lim_{x \to 2} x^{3}$

Step 1.2

Move the exponent $3$ from $x^{3}$ outside the limit using the Limits Power Rule.

$4 {(lim_{x \to 2} x)}^{3}$

Step 2

Evaluate the limit of $x$ by plugging in $2$ for $x$ .

$4 \cdot 2^{3}$

Step 3

Simplify the answer.

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Step 3.1

Raise $2$ to the power of $3$ .

$4 \cdot 8$

Step 3.2

Multiply $4$ by $8$ .

$32$