Calculus Examples

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

Step 1

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

$lim_{x \to 4} \cot (x)$

Step 2

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

$\cot (lim_{x \to 4} x)$

Step 3

Evaluate the limit of $x$ by plugging in $4$ for $x$ .

$\cot (4)$

Step 4

Evaluate $\cot (4)$ .

$14.30066625$