Use induction for part 1.
=
Thus, if ,
Hi I am having a bit of trouble with a couple of questions in regards to convergences.
Let the sequence
let
Prove that
Hence prove that
From my attempts at part 1 I have been able to show that for n=0 and n=1 that the function will be equal to and respectively. However I am having trouble actually proving for n terms that it is true. I am able to get to but am completely stuck there on.
For the second part I have very little idea as to how I can prove that the sequence converges using my result from part 1.
Thanks you for any input in advance :d