Question
Let (r„) be a sequence of real numbers and let B be the subset of R defined by B :=
{:n€ N}. Let LER and let f : B → R be defined by f () = an. Prove that lim a, = L if
and only if lim f (x) = L.
%3D
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Transcribed Image Text

Let (r„) be a sequence of real numbers and let B be the subset of R defined by B := {:n€ N}. Let LER and let f : B → R be defined by f () = an. Prove that lim a, = L if and only if lim f (x) = L. %3D %3D

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