Calculus Examples

$\frac{lim_{x \to 0^{+}} \sqrt{x}}{\ln (x + 1)}$

Step 1

Move the limit under the radical sign.

$\frac{\sqrt{lim_{x \to 0^{+}} x}}{\ln (x + 1)}$

Step 2

Evaluate the limit of $x$ by plugging in $0$ for $x$ .

$\frac{\sqrt{0}}{\ln (x + 1)}$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

Simplify the numerator.

Tap for more steps...

Step 3.1.1

Rewrite $0$ as $0^{2}$ .

$\frac{\sqrt{0^{2}}}{\ln (x + 1)}$

Step 3.1.2

Pull terms out from under the radical, assuming positive real numbers.

$\frac{0}{\ln (x + 1)}$

Step 3.2

Divide $0$ by $\ln (x + 1)$ .

$0$