Calculus Examples

$lim_{x \to - 9} \frac{{(- 9.01)}^{2} - 81}{(- 9.01) + 9}$

Step 1

Evaluate the limit of $\frac{{(- 9.01)}^{2} - 81}{(- 9.01) + 9}$ which is constant as $x$ approaches $- 9$ .

$\frac{{(- 9.01)}^{2} - 81}{(- 9.01) + 9}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $- 9.01$ to the power of $2$ .

$\frac{81.1801 - 81}{- 9.01 + 9}$

Step 2.1.2

Subtract $81$ from $81.1801$ .

$\frac{0.1801}{- 9.01 + 9}$

Step 2.2

Add $- 9.01$ and $9$ .

$\frac{0.1801}{- 0.01}$

Step 2.3

Divide $0.1801$ by $- 0.01$ .

$- 18.01$