Prove that is strictly increasing for . Or in other words the recurrence equation is strictly increasing.
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Hello, Let's show that And i have a problem oO
Originally Posted by james_bond Prove that is strictly increasing for . Or in other words the recurrence equation is strictly increasing. you get too encumbered in the method you could differntiate and see if it is monotonically increasing on ...haha
I derivated but it didn't give something interesting
Originally Posted by Moo I derivated but it didn't give something interesting But what do you mean it didnt give you something interesting?
You have to study the sign of the derivative. Well, good luck ^^ I've found it easier to study but can't conclude (just too lazy maybe)
Originally Posted by Moo You have to study the sign of the derivative. Well, good luck ^^ I've found it easier to study but can't conclude (just too lazy maybe) You are probably right it is much easier
Let Then and N is strictly increasing is strictly increasing. Let Then This is positive for all because both and . Hence is strictly increasing.
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