Friday, January 8, 2016

real analysis - Find limxto0fracln(x2+1)x2 without L'hopital's rule



I have to find the limit without L'hopital's rule:
limx0ln(x2+1)x2



Is it possible?
I thought about using squeeze theorem or something, but it didn't work out.




Hints are more than welcome!



P.S - I didn't study Taylor series or Integrals yet.


Answer



limx0ln(x2+1)x2=limx0ln(x2+1)1x2=ln(limx0(x2+1)1x2)=lne=1



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...