A) \[{{x}_{n+1}}=\sqrt{2+{{x}_{n}}},\ n\ge 1,\ \] and \[\underset{x\to a}{\mathop{\lim }}\,g(x)\] exist
B) \[\underset{x\to a}{\mathop{\lim }}\,f{{(x)}^{g(x)}}\] exists
C) \[\underset{x\to a}{\mathop{\lim }}\,\frac{f(x)}{g(x)}\] exists
D) \[\underset{x\to a}{\mathop{\lim }}\,f(x)g\left( \frac{1}{x} \right)\]exists
Correct Answer: A
Solution :
It is a fundamental concept.
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