Calculus Examples

Evaluate the Limit limit as x approaches 1 of sin(pix)
Step 1
Evaluate the limit.
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Step 1.1
Move the limit inside the trig function because sine is continuous.
Step 1.2
Move the term outside of the limit because it is constant with respect to .
Step 2
Evaluate the limit of by plugging in for .
Step 3
Simplify the answer.
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Step 3.1
Multiply by .
Step 3.2
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
Step 3.3
The exact value of is .