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5. Using only the precise definitions of limit and infinite limit, prove that the following two statements are equivalent: [10] (i) lim f(x) = co;

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5. Using only the precise definitions of limit and infinite limit, prove that the following two statements are equivalent: [10] (i) lim f(x) = co; x- a (ii) lim x-a f(x) = 0 and f (x) > 0 for all x in an open interval containing a except at a

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