Calculus Examples

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

Step 1

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

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

Step 2

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

$\frac{\sin (π)}{π - x}$

Step 3

Simplify the answer.

Tap for more steps...

Step 3.1

Simplify the numerator.

Tap for more steps...

Step 3.1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\frac{\sin (0)}{π - x}$

Step 3.1.2

The exact value of $\sin (0)$ is $0$ .

$\frac{0}{π - x}$

Step 3.2

Divide $0$ by $π - x$ .

$0$