Question

Consider Statements A and B below: A: A real number L is a limit of a...

Consider Statements A and B below:

A: A real number L is a limit of a sequence if and only if for any ε− strip centered at L, infinitely many points on the graph of the sequence are inside the ε−strip.

B: A real number L is a limit of a sequence if and only if for any ε− strip centered at L, only finitely many points on the graph of the sequence are outside the ε−strip.

Evaluate the following statements and explain how you can tell.

Statement A is logically equivalent to Statement B.

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