Calculus Examples

$lim_{x \to 4} \frac{4.01 - 4}{{4.01}^{2} - 3 \cdot 4.01 - 4}$

Step 1

Evaluate the limit of $\frac{4.01 - 4}{{4.01}^{2} - 3 \cdot 4.01 - 4}$ which is constant as $x$ approaches $4$ .

$\frac{4.01 - 4}{{4.01}^{2} - 3 \cdot 4.01 - 4}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $4$ from $4.01$ .

$\frac{0.01}{{4.01}^{2} - 3 \cdot 4.01 - 4}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $4.01$ to the power of $2$ .

$\frac{0.01}{16.0801 - 3 \cdot 4.01 - 4}$

Step 2.2.2

Multiply $- 3$ by $4.01$ .

$\frac{0.01}{16.0801 - 12.03 - 4}$

Step 2.2.3

Subtract $12.03$ from $16.0801$ .

$\frac{0.01}{4.0501 - 4}$

Step 2.2.4

Subtract $4$ from $4.0501$ .

$\frac{0.01}{0.0501}$

Step 2.3

Divide $0.01$ by $0.0501$ .

$0.19960079$