\( \lim _{x \rightarrow a}\left(\frac{f(x)}{g(x)}\right) \) exists (A) both \( \lim _{x \rightar...
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0\( \lim _{x \rightarrow a}\left(\frac{f(x)}{g(x)}\right) \) exists
(A) both \( \lim _{x \rightarrow a} f(x) \) and \( \lim _{x \rightarrow a} g(x) \) must exist
(B) \( \lim _{x \rightarrow a} f(x) \) need not exist but \( \lim _{x \rightarrow a} g(x) \) exists
(C) neither \( \lim _{x \rightarrow \Omega} f(x) \) nor \( \lim _{x \rightarrow \Omega} g(x) \) may exist
(D) \( \lim _{x \rightarrow a} f(x) \) exists but \( \lim _{x \rightarrow a} g(x) \) need not exist
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