I must demonstrate that if , and are sequences of real number then the following is true:

if then .

My attempt: I must show that knowing that then there exist a constant and an integer such that for .

But to me, any constant in R that I'd take would make . For instance if the sequence , then . In fact C would have to be infinite for the relation to be true.

Am I missing something or the problem asks me to show a wrong result?