Calculus Examples

$lim_{x \to 7.99} \frac{7.99 - 8}{{7.99}^{2} - 7 \cdot 7.99 - 8}$

Step 1

Evaluate the limit of $\frac{7.99 - 8}{{7.99}^{2} - 7 \cdot 7.99 - 8}$ which is constant as $x$ approaches $7.99$ .

$\frac{7.99 - 8}{{7.99}^{2} - 7 \cdot 7.99 - 8}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $8$ from $7.99$ .

$\frac{- 0.01}{{7.99}^{2} - 7 \cdot 7.99 - 8}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $7.99$ to the power of $2$ .

$\frac{- 0.01}{63.8401 - 7 \cdot 7.99 - 8}$

Step 2.2.2

Multiply $- 7$ by $7.99$ .

$\frac{- 0.01}{63.8401 - 55.93 - 8}$

Step 2.2.3

Subtract $55.93$ from $63.8401$ .

$\frac{- 0.01}{7.9101 - 8}$

Step 2.2.4

Subtract $8$ from $7.9101$ .

$\frac{- 0.01}{- 0.0899}$

Step 2.3

Divide $- 0.01$ by $- 0.0899$ .

$0.1112347$