Functions Question 154

Question: $ y $ exists, if

[RPET 1995]

Options:

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( \frac{1}{x} ) $ exists

Show Answer

Answer:

Correct Answer: A

Solution:

It is a fundamental concept.