Limits (1 Viewer)

[cattle_7]

I am having trouble with finding the limit, as x approaches 0 of (1-cosx)/xsinx. can anyone help?

 

[Timothy.Siu]

I am having trouble with finding the limit, as x approaches 0 of (1-cosx)/xsinx. can anyone help?

(1-cosx)/xsinx

=limx-->0 2sin²(x/2)/xsin x
=limx-->0 sin(x/2)/(x/2) . sin(x/2)/2sin(x/2)cos(x/2)
=limx-->0 1 x 1/[2cos(x/2)]=1/2

 

[cattle_7]

thanks