8. Suppose that f: [a, 00) ----; R for some a E R. Prove that f(x) ----;

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8. Suppose that f: [a, 00) ----; R for some a E R. Prove that f(x) ----; L as x ----; 00 if and only if f (xn ) ----; L for any sequence Xn E

(a, 00) that converges to 00 as n ----; 00.

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