Calculus Examples

$lim_{x \to - 8} \frac{1}{- 1000^{2} + 9}$

Step 1

Evaluate the limit of $\frac{1}{- 1000^{2} + 9}$ which is constant as $x$ approaches $- 8$ .

$\frac{1}{- 1000^{2} + 9}$

Step 2

Simplify the answer.

Tap for more steps...

Step 2.1

Simplify the denominator.

Tap for more steps...

Step 2.1.1

Raise $1000$ to the power of $2$ .

$\frac{1}{- 1 \cdot 1000000 + 9}$

Step 2.1.2

Multiply $- 1$ by $1000000$ .

$\frac{1}{- 1000000 + 9}$

Step 2.1.3

Add $- 1000000$ and $9$ .

$\frac{1}{- 999991}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{1}{999991}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{999991}$

Decimal Form:

$- 1.000009 \cdot 10^{- 6}$