Calculus Examples

$lim_{x \to 6} \frac{\sqrt{6.001} + 2}{6.001 - 6}$

Step 1

Evaluate the limit of $\frac{\sqrt{6.001} + 2}{6.001 - 6}$ which is constant as $x$ approaches $6$ .

$\frac{\sqrt{6.001} + 2}{6.001 - 6}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $6$ from $6.001$ .

$\frac{\sqrt{6.001} + 2}{0.001}$

Step 2.2

Evaluate the root.

$\frac{2.44969385 + 2}{0.001}$

Step 2.3

Add $2.44969385$ and $2$ .

$\frac{4.44969385}{0.001}$

Step 2.4

Divide $4.44969385$ by $0.001$ .

$4449.69385842$