Hi, I have the following problem which I don't know how to solve... I know how to do part C, but I don't know parts A and B. I will have enough to guide myself if you help me with part A though.

Thanks a lot!

The whole problem is:

"Let for . Define a sequence of real numbers by

for , .

A) Show that if , then .

B) Show that if , then . (Hint: show .)

C) Conclude that the sequence converges."