Assume what you are trying to prove is not true ie. there exists y>0 such that . Then the mean value theorem tells us that for some . Find a contradiction.
Please sir is there any other weay because this is very confussing .If possible can u give me a reference from where i can get a complete explaination about hw u came to this conclusion....
Can u plzz solve this question... Using Lagrange mean value theorem show that e Rest to x > 1 + x, x > 0.
Clearly, is positive, increasing and convex for .
Then, for , the function is always above its tangent lines; i.e., for any (recall that a tangent line of a function at the point is given by ).
Letting , we get the desired result.