Calculus Question

Question

Evaluate the following limit:

 

sinx/tanx as x approaches 0.

 

Help?!

Answer 1

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