Calculus Examples

Evaluate the Limit limit as x approaches pi of tan(x)
Step 1
Move the limit inside the trig function because tangent is continuous.
Step 2
Evaluate the limit of by plugging in for .
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.
Step 3.2
The exact value of is .
Step 3.3
Multiply by .