Let (x sub n) and (y sub n) be sequences of positive numbers such that
lim(x sub n/y sub n) = 0. Prove if lim(x sub n)= positive infinity, then
lim(y sub n) = positive infinity.
Let (x sub n) and (y sub n) be sequences of positive numbers such that
lim(x sub n/y sub n) = 0. Prove if lim(x sub n)= positive infinity, then
lim(y sub n) = positive infinity.
the conditions on the terms of the sequences and:
means that for all positive eventually
so:
and as goes to so must .
Now make this argument more formal and fill in the detail