Calculus Examples

$\frac{lim_{x \to 0.001} 8 \sin (x)}{x}$

Step 1

Evaluate the limit.

Tap for more steps...

Step 1.1

Move the term $8$ outside of the limit because it is constant with respect to $x$ .

$\frac{8 lim_{x \to 0.001} \sin (x)}{x}$

Step 1.2

Move the limit inside the trig function because sine is continuous.

$\frac{8 \sin (lim_{x \to 0.001} x)}{x}$

Step 2

Evaluate the limit of $x$ by plugging in $0.001$ for $x$ .

$\frac{8 \sin (0.001)}{x}$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

Evaluate $\sin (0.001)$ .

$\frac{8 \cdot 0.00001745}{x}$

Step 3.2

Multiply $8$ by $0.00001745$ .

$\frac{0.00013962}{x}$