Question regarding Mean Value Theorem.

[charmedbeauty]

Homework Statement

By using mean value theorem , show that

ln(1+x)<x whenever x>0

Homework Equations

The Attempt at a Solution

So there is another example in my book and they just use the formula

f ' (c) = f(b)-f(a) / b-a

but I am not sure how to work out my [a,b] interval.

any ideas?

 

[Dick]

Work on the interval [0,c] where c>0.