Hiya guys!
I'd really appreciate some help with this question, I don't even know where to begin!This book I'm using is rubbish!
Consider the sequence , where
,
a.) Show by induction that
b.) Show that is monotonic increasing
But where do I go about getting in the first place?? I'd really appreciate a full explaination. Thanks so much guys!
Jo
For question a :
Basis :
Induction hypothesis :
(--> is ?)
According to the hypothesis,
--> (for more convenience )
Also according to the hypothesis,
--->
Can you continue ?
No problem
You'll get used to it by practicing ^^
Edit : Ok, I didn't check it at first time, but my last inequality doesn't yield anything interesting
So is the answer to the first one:
..which holds true, therefore, by induction, fpr all n?
And could you elaborate on part b please?I get that is monotonic increasing if for all , but how do you prove this?When you don't know what is??
Coz like that, the last part of this questionis: Find . I think I could do this part if I just knew where to start with getting
I know I'm probably being really stupid about this, sorry!