Consider the following Statements Statement-I: If both functions and have limits at , then [ ] denotes G.I.F Statement-2: A function may fail to have a limit at a point in its domain but functional value at exists (i.e. exists).

Question

Consider the following Statements

Statement-I: If both functions $f (x)$ and $g (x)$ have limits at $x = a$ , then $\lim_{x \to a} [f (g (x))] = [\lim_{x \to a} f (g (x))]$ [ ] denotes G.I.F

Statement-2: A function may fail to have a limit at a point in its domain but functional value at $x = a$ exists (i.e. $f (a)$ exists).

Smart Achievers · Accepted Answer

(2)

Apply Limits & Properties

Solution

1 Only Statement I is true

2 Only Statement II is true

3 Both Statement I and II are True

4 Both Statement I and II are false

Ans.
(2)

Apply Limits & Properties

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