Calculus Examples

$lim_{x \to π} 9 \tan (x)$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $9$ outside of the limit because it is constant with respect to $x$ .

$9 lim_{x \to π} \tan (x)$

Step 1.2

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

$9 \tan (lim_{x \to π} x)$

Step 2

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

$9 \tan (π)$

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. Make the expression negative because tangent is negative in the second quadrant.

$9 (- \tan (0))$

Step 3.2

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

$9 (- 0)$

Step 3.3

Multiply $9 (- 0)$ .

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Step 3.3.1

Multiply $- 1$ by $0$ .

$9 \cdot 0$

Step 3.3.2

Multiply $9$ by $0$ .

$0$