I have attached a picture of the question. How would you go about showing this? Thanks.
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Originally Posted by universalsandbox I have attached a picture of the question. How would you go about showing this? Thanks. Is/are there an extra condition/s that is/are missing here? RonL
Originally Posted by CaptainBlack Is/are there an extra condition/s that is/are missing here? RonL Ex: let a=2, xknot = 1 then x(sub1) = (1/2)(xknot + 2/xknot) = 3/2 x(sub2) = (1/2)( x(sub1) + 2/(xsub1) ) = 17/2 etc.
I work out that if , . As long as , then the function will be decreasing, but I can't find a way to show that statement inductively.
Originally Posted by universalsandbox Ex: let a=2, xknot = 1 then x(sub1) = (1/2)(xknot + 2/xknot) = 3/2 x(sub2) = (1/2)( x(sub1) + 2/(xsub1) ) = 17/2 etc. Compare what happens when with what happens when with what happens when RonL
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