Calculus Examples

$\frac{lim_{x \to \frac{π}{2}} \sin (x)}{x}$

Step 1

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

$\frac{\sin (lim_{x \to \frac{π}{2}} x)}{x}$

Step 2

Evaluate the limit of $x$ by plugging in $\frac{π}{2}$ for $x$ .

$\frac{\sin (\frac{π}{2})}{x}$

Step 3

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$\frac{1}{x}$