Hi, I had this induction problem which i couldn't figure out how to solve. for all n show that: The solution looked like this: How can the stuff marked in red be valid?
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That's precisely the induction step -- you assumed that , so you get And the rest follows easily..
Originally Posted by Jones Hi, I had this induction problem which i couldn't figure out how to solve. for all n show that: The solution looked like this: How can the stuff marked in red be valid? This is a rather well known thing called Bernoulli's Inequality, and it MUST be that Tonio
Originally Posted by Jones Hi, I had this induction problem which i couldn't figure out how to solve. for all n show that: The solution looked like this: How can the stuff marked in red be valid? at that part you bolded they are replacing the (1+x)^k with what we know. we know that . at the part you bolded, at this part we replace with . leaving us with .
Last edited by p00ndawg; October 19th 2009 at 03:52 PM.
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