Calculus Examples

$lim_{x \to 0} \sqrt{x}$

Step 1

Change the two-sided limit into a right sided limit.

$lim_{x \to 0^{+}} \sqrt{x}$

Step 2

Move the limit under the radical sign.

$\sqrt{lim_{x \to 0^{+}} x}$

Step 3

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

$\sqrt{0}$

Step 4

Simplify the answer.

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Step 4.1

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

$\sqrt{0^{2}}$

Step 4.2

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

$0$