Calculus Examples

$lim_{x \to - 1} \frac{- {0.99}^{2} - 7 \cdot - 0.99}{- {0.99}^{2} - 6 \cdot - 0.99 - 7}$

Step 1

Evaluate the limit of $\frac{- {0.99}^{2} - 7 \cdot - 0.99}{- {0.99}^{2} - 6 \cdot - 0.99 - 7}$ which is constant as $x$ approaches $- 1$ .

$\frac{- {0.99}^{2} - 7 \cdot - 0.99}{- {0.99}^{2} - 6 \cdot - 0.99 - 7}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $0.99$ to the power of $2$ .

$\frac{- 1 \cdot 0.9801 - 7 \cdot - 0.99}{- {0.99}^{2} - 6 \cdot - 0.99 - 7}$

Step 2.1.2

Multiply $- 1$ by $0.9801$ .

$\frac{- 0.9801 - 7 \cdot - 0.99}{- {0.99}^{2} - 6 \cdot - 0.99 - 7}$

Step 2.1.3

Multiply $- 7$ by $- 0.99$ .

$\frac{- 0.9801 + 6.93}{- {0.99}^{2} - 6 \cdot - 0.99 - 7}$

Step 2.1.4

Add $- 0.9801$ and $6.93$ .

$\frac{5.9499}{- {0.99}^{2} - 6 \cdot - 0.99 - 7}$

Step 2.2

Simplify the denominator.

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Step 2.2.1

Raise $0.99$ to the power of $2$ .

$\frac{5.9499}{- 1 \cdot 0.9801 - 6 \cdot - 0.99 - 7}$

Step 2.2.2

Multiply $- 1$ by $0.9801$ .

$\frac{5.9499}{- 0.9801 - 6 \cdot - 0.99 - 7}$

Step 2.2.3

Multiply $- 6$ by $- 0.99$ .

$\frac{5.9499}{- 0.9801 + 5.94 - 7}$

Step 2.2.4

Add $- 0.9801$ and $5.94$ .

$\frac{5.9499}{4.9599 - 7}$

Step 2.2.5

Subtract $7$ from $4.9599$ .

$\frac{5.9499}{- 2.0401}$

Step 2.3

Divide $5.9499$ by $- 2.0401$ .

$- 2.91647468$