Let and . Show that as . [Hint:use the product rule and induction on n]
I am studying for an exam when i came across this problem in my notes. Any help would be appreciated.
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What about x, is there not more structure?
In order to use induction we will need for the initial step
Then for the induction hypothesis we assume for all
however the induction hypothesis holds for all , so we have
No, that's all that we are given with regards to x. But your explanation is very helpful. For some reason I couldn't out the induction process together with the product rule.
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