Calculus Examples

Evaluate the Limit ( limit as x approaches 0 of sin(x^2))/x
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 exponent from outside the limit using the Limits Power Rule.
Step 2
Evaluate the limit of by plugging in for .
Step 3
Simplify the answer.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Raising to any positive power yields .
Step 3.1.2
The exact value of is .
Step 3.2
Divide by .