Calculus Examples

$lim_{x \to π} \tan (x)$

Step 1

Change the two-sided limit into a left sided limit.

$lim_{x \to π^{-}} \tan (x)$

Step 2

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

$\tan (lim_{x \to π^{-}} x)$

Step 3

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

$\tan (π)$

Step 4

Simplify the answer.

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Step 4.1

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.

$- \tan (0)$

Step 4.2

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

$- 0$

Step 4.3

Multiply $- 1$ by $0$ .

$0$