Which of the following is/are true.
(a) If \( \lim _{x \rightarrow a}\{f(x)+g(x)\} \) exists, th...
Which of the following is/are true.
(a) If \( \lim _{x \rightarrow a}\{f(x)+g(x)\} \) exists, then both \( \lim _{x \rightarrow a} f(x) \) and \( \lim _{x \rightarrow a} g(x) \) exist
(b) If \( \lim _{x \rightarrow a} f(x) \) and \( \lim _{x \rightarrow a} g(x) \) exist, then \( \lim _{x \rightarrow a}\{f(x)+g(x)\} \) exist.
(c) If \( \lim _{x \rightarrow a} f(x) \) and \( \lim _{x \rightarrow a} g(x) \) exist, then \( \lim _{x \rightarrow a} f(x) g(x) \) does not exists
(d) If \( \lim _{x \rightarrow a}\{f(x) g(x)\} \) exists, then both \( \lim _{x \rightarrow a} f(x) \) and \( \lim _{x \rightarrow a} g(x) \) exist.
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