Question: In this problem, we will only consider sequences (in part (a),(b) and (c)) that are POSITIVE AND DIVERGENT TO . And let f(x) be a

In this problem, we will only consider sequences (in part (a),(b) and (c)) that are POSITIVE AND DIVERGENT TO . And let f(x) be a CONTINUOUS function.For each of the following statements, decide whether they are true or false. If true, prove it. If false, give a counterexample.(a) For every sequence {xn}n, there exists a sequence {yn}n such that xn(yn)2.

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