Calculus Examples

$lim_{x \to - 1} \frac{- {1.001}^{3} - (- 1.001)}{- 1.001 + 1}$

Step 1

Evaluate the limit of $\frac{- {1.001}^{3} - (- 1.001)}{- 1.001 + 1}$ which is constant as $x$ approaches $- 1$ .

$\frac{- {1.001}^{3} - (- 1.001)}{- 1.001 + 1}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $1.001$ to the power of $3$ .

$\frac{- 1 \cdot 1.\overline{003} - (- 1.001)}{- 1.001 + 1}$

Step 2.1.2

Multiply $- 1$ by $1.\overline{003}$ .

$\frac{- 1.\overline{003} - (- 1.001)}{- 1.001 + 1}$

Step 2.1.3

Multiply $- 1$ by $- 1.001$ .

$\frac{- 1.\overline{003} + 1.001}{- 1.001 + 1}$

Step 2.1.4

Add $- 1.\overline{003}$ and $1.001$ .

$\frac{- 0.002003}{- 1.001 + 1}$

Step 2.2

Add $- 1.001$ and $1$ .

$\frac{- 0.002003}{- 0.001}$

Step 2.3

Divide $- 0.002003$ by $- 0.001$ .

$2.003001$