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Question

Question: \(( - \infty, - 1) \cup \lbrack 1,\infty)f(x) = \frac{1}{\sqrt{|x| - x}}\)equals –...

(,1)[1,)f(x)=1xx( - \infty, - 1) \cup \lbrack 1,\infty)f(x) = \frac{1}{\sqrt{|x| - x}}equals –

A

R+R^{+}

B

RR^{-}

C

1

D

None of these

Answer

R+R^{+}

Explanation

Solution

limx0\lim _ { x \rightarrow 0 } 11+x42!11+x22!..\frac { \sqrt { 1 - 1 + \frac { x ^ { 4 } } { 2 ! } \ldots \ldots } } { 1 - 1 + \frac { x ^ { 2 } } { 2 ! } \ldots . . } = 2\sqrt { 2 }