Calculus Examples

$\frac{lim_{x \to - 3} {(- 3.001)}^{3} - 9 \cdot - 3.01}{(- 3.01) + 3}$

Step 1

Evaluate the limit of ${(- 3.001)}^{3} - 9 \cdot - 3.01$ which is constant as $x$ approaches $- 3$ .

$\frac{{(- 3.001)}^{3} - 9 \cdot - 3.01}{(- 3.01) + 3}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $- 3.001$ to the power of $3$ .

$\frac{- 27.027009 - 9 \cdot - 3.01}{- 3.01 + 3}$

Step 2.1.2

Multiply $- 9$ by $- 3.01$ .

$\frac{- 27.027009 + 27.09}{- 3.01 + 3}$

Step 2.1.3

Add $- 27.027009$ and $27.09$ .

$\frac{0.06299099}{- 3.01 + 3}$

Step 2.2

Add $- 3.01$ and $3$ .

$\frac{0.06299099}{- 0.01}$

Step 2.3

Divide $0.06299099$ by $- 0.01$ .

$- 6.2990999$