Calculus Examples

$lim_{x \to - 5} \frac{- {4.999}^{3} - 25 \cdot - 4.999}{- 4.999 + 5}$

Step 1

Evaluate the limit of $\frac{- {4.999}^{3} - 25 \cdot - 4.999}{- 4.999 + 5}$ which is constant as $x$ approaches $- 5$ .

$\frac{- {4.999}^{3} - 25 \cdot - 4.999}{- 4.999 + 5}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $4.999$ to the power of $3$ .

$\frac{- 1 \cdot 124.92501499 - 25 \cdot - 4.999}{- 4.999 + 5}$

Step 2.1.2

Multiply $- 1$ by $124.92501499$ .

$\frac{- 124.92501499 - 25 \cdot - 4.999}{- 4.999 + 5}$

Step 2.1.3

Multiply $- 25$ by $- 4.999$ .

$\frac{- 124.92501499 + 124.975}{- 4.999 + 5}$

Step 2.1.4

Add $- 124.92501499$ and $124.975$ .

$\frac{0.049985}{- 4.999 + 5}$

Step 2.2

Add $- 4.999$ and $5$ .

$\frac{0.049985}{0.001}$

Step 2.3

Divide $0.049985$ by $0.001$ .

$49.985001$