Calculus Examples

$lim_{x \to π} 3 \sin (x)$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $3$ outside of the limit because it is constant with respect to $x$ .

$3 lim_{x \to π} \sin (x)$

Step 1.2

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

$3 \sin (lim_{x \to π} x)$

Step 2

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

$3 \sin (π)$

Step 3

Simplify the answer.

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Step 3.1

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

$3 \sin (0)$

Step 3.2

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

$3 \cdot 0$

Step 3.3

Multiply $3$ by $0$ .

$0$