Calculus Examples

$\frac{lim_{h \to 0} \cos (h)}{h}$

Step 1

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

$\frac{\cos (lim_{h \to 0} h)}{h}$

Step 2

Evaluate the limit of $h$ by plugging in $0$ for $h$ .

$\frac{\cos (0)}{h}$

Step 3

The exact value of $\cos (0)$ is $1$ .

$\frac{1}{h}$