4 Lim X C F X L M G X Provided M 0 And G X 0 For Any X A X C Theorem 5 3 Suppose That A Cr F A R And C 1 (11.09 KiB) Viewed 45 times
(4) lim x-c f(x) L M g(x) = provided M 0 and g(x) ‡0 for any x € A.
x-C THEOREM 5.3. Suppose that A CR, f: A → R, and c is a limit point of A. Then lim f(x) = Lif and only if, for every sequence (an) A for which each an c and an →c, we have f(an) → L.
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