largarithmic
Member
- Joined
- Aug 9, 2011
- Messages
- 195
- Gender
- Male
- HSC
- 2011
This is a fantastic question
For some x,y real and n a positive integer, let
Then "integrating" the function's derivative:
Now the choice of x and y is irrelevant of n: so sending n to infinity, the right hand side of that inequality goes to zero, so by the squeezetheorem/sandwich principle, for all x and y,