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 denominator.

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Step 2.1

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

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

Step 2.2

Add $1000000$ and $9$ .

$\frac{1}{1000009}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{1000009}$

Decimal Form:

$9.99991 \cdot 10^{- 7}$