Consider the function \(f\left( x \right) = \frac{{\left| x \right|}}{x}:\)a) \(\mathop {\lim }\limits_{x \to {0^ + }} f\left( x \right) = 1\)b) \(\mathop {\lim }\limits_{x \to {0^{ -}}} f\left( x \right) = - 1\)c) \(\mathop {\lim }\limits_{x \to 0} f\left( x \right)\) does not exists

Consider the function \(f\left( x \right) = \frac{{\left| x \right|}}

1.	Consider the function \(f\left( x \right) = \frac{{\left\| x \right\|}}{x}:\)a) \(\mathop {\lim }\limits_{x \to {0^ + }} f\left( x \right) = 1\)b) \(\mathop {\lim }\limits_{x \to {0^{ -}}} f\left( x \right) = - 1\)c) \(\mathop {\lim }\limits_{x \to 0} f\left( x \right)\) does not exists
A.	All (a), (b) and (c) are true
B.	Both (a) and (b) are false
C.	(c) alone true
D.	(a) and (c) are true
Answer» B. Both (a) and (b) are false

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Consider the function \(f\left( x \right) = \frac{{\left| x \right|}}{x}:\)a) \(\mathop {\lim }\limits_{x \to {0^ + }} f\left( x \right) = 1\)b) \(\mathop {\lim }\limits_{x \to {0^{ -}}} f\left( x \right) = - 1\)c) \(\mathop {\lim }\limits_{x \to 0} f\left( x \right)\) does not exists

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