Calculus Examples

$lim_{x \to 0} \frac{4 (\sin (x))}{x}$

Step 1

Move the term $4$ outside of the limit because it is constant with respect to $x$ .

$4 lim_{x \to 0} \frac{\sin (x)}{x}$

Step 2

Since $\cos (x) \leq \frac{\sin (x)}{x} \leq 1$ and $lim_{x \to 0} \cos (x) = lim_{x \to 0} 1 = 1$ , apply the squeeze theorem.

$4 \cdot 1$

Step 3

Multiply $4$ by $1$ .

$4$