Monday, November 21, 2016

algebra precalculus - Evaluate limxto0fractan(tanx)sin(sinx)tanxsinx

Evaluate limx0tan(tanx)sin(sinx)tanxsinx




First I tried using L'Hopital's rule..but it's very lengthy



Next I have written the limits as
L=limx0tan(tanx)sin(sinx)tanxsinx=limx0tan(tanx)sin(sinx)x3limx0tanxsinxx3=L1L2



Now by L'Hopital's Rule we get L2=0.5



L1=limx0tan(tanx)sin(sinx)x3



Now L1 can also be evaluated using three applications of L'Hopital's Rule, but is there any other approach?

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection f:AB and I want to get bijection. Can I just resting codomain to f(A)? I know that every function i...