a limit

• February 25th 2009, 10:23 PM
inzaghina
a limit
hi...this is the problem:
lim (ri)^n , when n -> infinite, i*i=-1 and r>0

thank you
• February 26th 2009, 07:29 AM
HallsofIvy
Quote:

Originally Posted by inzaghina
hi...this is the problem:
lim (ri)^n , when n -> infinite, i*i=-1 and r>0

thank you

Isn't it obvious that $r^n$ itself goes to infinity so there is no limit?

In fact, even if r= 1, this sequence is i, -1, -i, 1, i, -1, -i, 1, ... and so does not converge.

If $0\le r< 1$ then it converges to 0.
• February 26th 2009, 10:26 AM
inzaghina