Calculus Examples

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

Step 1

Convert from $\frac{4 \cos (4 x)}{\sin (4 x)}$ to $4 \cot (4 x)$ .

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

Step 2

Since the function approaches $\infty$ from the left and $- \infty$ from the right, the limit does not exist.

$Does not exist$