Calculus Examples

$lim_{x \to \frac{π}{2}} 3 \sin (x)$

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 $x$ .

$3 lim_{x \to \frac{π}{2}} \sin (x)$

Step 1.2

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

$3 \sin (lim_{x \to \frac{π}{2}} x)$

Step 2

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

$3 \sin (\frac{π}{2})$

Step 3

Simplify the answer.

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Step 3.1

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

$3 \cdot 1$

Step 3.2

Multiply $3$ by $1$ .

$3$