Calculus Examples

$lim_{x \to π} \sin (\frac{2 π}{3})$

Step 1

Evaluate the limit of $\sin (\frac{2 π}{3})$ which is constant as $x$ approaches $π$ .

$\sin (\frac{2 π}{3})$

Step 2

Simplify the answer.

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Step 2.1

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

$\sin (\frac{π}{3})$

Step 2.2

The exact value of $\sin (\frac{π}{3})$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$