Calculus Examples

$lim_{x \to - 5} \frac{8 (- 4.99) + 40}{{(- 4.99)}^{2} - 2 \cdot - 4.99 - 35}$

Step 1

Evaluate the limit of $\frac{8 (- 4.99) + 40}{{(- 4.99)}^{2} - 2 \cdot - 4.99 - 35}$ which is constant as $x$ approaches $- 5$ .

$\frac{8 (- 4.99) + 40}{{(- 4.99)}^{2} - 2 \cdot - 4.99 - 35}$

Step 2

Simplify the answer.

Tap for more steps...

Step 2.1

Simplify the numerator.

Tap for more steps...

Step 2.1.1

Multiply $8$ by $- 4.99$ .

$\frac{- 39.92 + 40}{{(- 4.99)}^{2} - 2 \cdot - 4.99 - 35}$

Step 2.1.2

Add $- 39.92$ and $40$ .

$\frac{0.08}{{(- 4.99)}^{2} - 2 \cdot - 4.99 - 35}$

Step 2.2

Simplify the denominator.

Tap for more steps...

Step 2.2.1

Raise $- 4.99$ to the power of $2$ .

$\frac{0.08}{24.9001 - 2 \cdot - 4.99 - 35}$

Step 2.2.2

Multiply $- 2$ by $- 4.99$ .

$\frac{0.08}{24.9001 + 9.98 - 35}$

Step 2.2.3

Add $24.9001$ and $9.98$ .

$\frac{0.08}{34.8801 - 35}$

Step 2.2.4

Subtract $35$ from $34.8801$ .

$\frac{0.08}{- 0.1199}$

Step 2.3

Divide $0.08$ by $- 0.1199$ .

$- 0.66722268$