Calculus Examples

$\frac{lim_{x \to 4} {4.001}^{3} - 16 \cdot 4.001}{4.001 - 4}$

Step 1

Evaluate the limit of ${4.001}^{3} - 16 \cdot 4.001$ which is constant as $x$ approaches $4$ .

$\frac{{4.001}^{3} - 16 \cdot 4.001}{4.001 - 4}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $4.001$ to the power of $3$ .

$\frac{64.048012 - 16 \cdot 4.001}{4.001 - 4}$

Step 2.1.2

Multiply $- 16$ by $4.001$ .

$\frac{64.048012 - 64.016}{4.001 - 4}$

Step 2.1.3

Subtract $64.016$ from $64.048012$ .

$\frac{0.032012}{4.001 - 4}$

Step 2.2

Subtract $4$ from $4.001$ .

$\frac{0.032012}{0.001}$

Step 2.3

Divide $0.032012$ by $0.001$ .

$32.012001$