Question: How do I prove this? 3. a)_ Let (X , d) be a metric space. Let (3%) be a sequence. Let yn = 322,14 and

How do I prove this?

3. a)_ Let (X , d) be a metric space. Let (3%) be a sequence. Let yn = 322,14 and Zn = 3:2\". Assume that yn > L and Zn > L. Show that 13,, > L. b) Let B be a set of real numbers such that B C [0, 00). Show that inf (B) = 0 if and only if there exists a sequence of real numbers (2\") such that zn > O and 2n 6 B, for all n

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