My Real Analysis textbook says: Let f,g: D --> R be two functions of common domain D that posses a limit at x_0 an accumulation point of D. Then, f/g as a limit at x_0 and this limit is the quotient of the limit of f to the limit of g, as long as [itex]g \neq 0 \ \forall x \ \epsilon \ D[/itex] and that the limit of g is not 0.(adsbygoogle = window.adsbygoogle || []).push({});

Does this mean that if the limit of g is zero we cannot conclude or could we extend the theorem to: if the limit of g is 0, then the limit of f/g does not exist?

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# Operations on limit

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