Calculus Examples

$lim_{x \to 4} \frac{\sqrt{4.1} - 1}{4.1 - 4}$

Step 1

Evaluate the limit of $\frac{\sqrt{4.1} - 1}{4.1 - 4}$ which is constant as $x$ approaches $4$ .

$\frac{\sqrt{4.1} - 1}{4.1 - 4}$

Step 2

Simplify the answer.

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Step 2.1

Subtract $4$ from $4.1$ .

$\frac{\sqrt{4.1} - 1}{0.1}$

Step 2.2

Evaluate the root.

$\frac{2.02484567 - 1}{0.1}$

Step 2.3

Subtract $1$ from $2.02484567$ .

$\frac{1.02484567}{0.1}$

Step 2.4

Divide $1.02484567$ by $0.1$ .

$10.24845673$