Calculus Examples

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

Step 1

Move the limit under the radical sign.

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

Step 2

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

$\frac{\sqrt{8}}{n^{\sin (n)}}$

Step 3

Simplify the numerator.

Tap for more steps...

Rewrite $8$ as $2^{2} \cdot 2$ .

Tap for more steps...

Factor $4$ out of $8$ .

$\frac{\sqrt{4 (2)}}{n^{\sin (n)}}$

Rewrite $4$ as $2^{2}$ .

$\frac{\sqrt{2^{2} \cdot 2}}{n^{\sin (n)}}$

Pull terms out from under the radical.

$\frac{2 \sqrt{2}}{n^{\sin (n)}}$