If you let {a_n} be a complex sequence where

lim [ |a_n|^(1/n) ] = q

i.e. the nth root of the modulus of the terms in the sequence tends to q.

(i) show that if q<1, then lim a_n=0

(ii) show that if q>1, then |a_n| --> infinity

iii) what can you say about the behaviour of |a_n| if q=1?

please help!