Calculus Examples

$lim_{n \to 8} \sqrt{n^{2}}$

Step 1

Evaluate the limit.

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Step 1.1

Move the limit under the radical sign.

$\sqrt{lim_{n \to 8} n^{2}}$

Step 1.2

Move the exponent $2$ from $n^{2}$ outside the limit using the Limits Power Rule.

$\sqrt{{(lim_{n \to 8} n)}^{2}}$

Step 2

Evaluate the limit of $n$ by plugging in $8$ for $n$ .

$\sqrt{8^{2}}$

Step 3

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

$8$