calculating infinity
posted by Steven on .
can someone tell me wich one of the two answers for these two limits is correct?
lim (1)^(n) = 1 or 1
n> +infinity
lim (1)^(n) = 1 or 1
n> infinity
Thanks in advance.

depends on n
if n is even then the answer is +1
if n is odd you get 1
for:
lim (1)^(n) = 1 or 1
n> infinity
is really the same as
lim 1/(1)^(n)
so the same reasoning as above applies 
1) I get it, except for
lim (1)^(n) = ?
n> +infinity
is infinity even or odd?
This is important because the result determines wheter the series that i was given is convergent or divergent.
2) in another excercise I encauntered the following problem:
is the following calculation with infinity allowed?:
lim (ln (n))^(1/n) = (ln (inf.))^(0)=1
n> +inf.
Again txs for answering.