Question

Prove: A non-increasing sequence which isn't bounded below diverges.

Answer 1

do you mean non-decreasing?

Answer 2

no. it's non-increasing

Answer 3

if it can't increase, how can it go to infinity?

Answer 4

i'm not sure because that is what the problem has.

Answer 5

it's actually not bounded below and goes to negative infinity

Answer 6

y=2 is a non-increacing sequence that doesn't diverge

Answer 7

ok. so how would write a proof for that.

Answer 8

what is it exactly that you have to prove?

Answer 9

i want to prove that a non-increasing sequence that isn't bounded below diverges

Answer 10

i don't think that's the case unless there's more info

Answer 11

its just any sequence. there's no other information to the statement.

Answer 12

is it monotonic?

Answer 13

yea it is