Calculus Examples

$\frac{lim_{x \to 4} 4^{3} - 64}{x - 4}$

Step 1

Evaluate the limit of $4^{3} - 64$ which is constant as $x$ approaches $4$ .

$\frac{4^{3} - 64}{x - 4}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

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

$\frac{64 - 64}{x - 4}$

Step 2.1.2

Subtract $64$ from $64$ .

$\frac{0}{x - 4}$

Step 2.2

Divide $0$ by $x - 4$ .

$0$