Question regarding Mean Value Theorem.

charmedbeauty

1. The problem statement, all variables and given/known data

By using mean value theorem , show that

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




2. Relevant equations



3. 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 Im not sure how to work out my [a,b] interval.

any ideas?

Dick

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