Question regarding Mean Value Theorem.

  1. 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?
     
  2. jcsd
  3. Dick

    Dick 25,624
    Science Advisor
    Homework Helper

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