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Calculus Question

Evaluate the following limit:
 
sinx/tanx as x approaches 0.
 
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Andy C. | Math/Physics TutorMath/Physics Tutor
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sinX / tanX = sinX/ (sinX/cosX) = sinX*cosX/sinx = cosX
The limit as x tends to zero is 1
 
Optionally , you can use L'Hopital's rule:
     cosX / secX^2  results from taking the derivatives of the numerator and denominator.
 
The limit as x tends to zero is 1