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Let f(x)=1/(1+x)
Use the Mean Value Theorom (for the derivative of a function) to prove that f(x)>=1-x for x>=0
also
Mean Value Theorom states:
[f(b)-f(a)]/ [b-a]= f'(c) where c is an element of [a,b]
Use the Mean Value Theorom (for the derivative of a function) to prove that f(x)>=1-x for x>=0
also
Mean Value Theorom states:
[f(b)-f(a)]/ [b-a]= f'(c) where c is an element of [a,b]