Question regarding Mean Value Theorem.


by charmedbeauty
Tags: theorem
charmedbeauty
charmedbeauty is offline
#1
Apr29-12, 05:56 AM
P: 272
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?
Phys.Org News Partner Science news on Phys.org
Simplicity is key to co-operative robots
Chemical vapor deposition used to grow atomic layer materials on top of each other
Earliest ancestor of land herbivores discovered
Dick
Dick is offline
#2
Apr29-12, 09:03 AM
Sci Advisor
HW Helper
Thanks
P: 25,165
Work on the interval [0,c] where c>0.


Register to reply

Related Discussions
Mean Value theorem question Calculus & Beyond Homework 2
a question about mean value theorem Calculus & Beyond Homework 2
Mean Value Theorem Question Calculus & Beyond Homework 7
mean value theorem question Calculus 4
mean-value theorem question Calculus 2