Calculus Examples

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

Step 1

Evaluate the limit.

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Step 1.1

Move the term $f (3)$ outside of the limit because it is constant with respect to $x$ .

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

Step 1.2

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

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

Step 2

Evaluate the limit of $x$ by plugging in $4$ for $x$ .

$f (3) \cdot 4^{3}$

Step 3

Simplify the answer.

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Step 3.1

Raise $4$ to the power of $3$ .

$f (3) \cdot 64$

Step 3.2

Move $64$ to the left of $f (3)$ .

$64 f (3)$