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Question

Evaluate : $lim x \to a \frac{x - a}{| x - a |}$
$a$
$0$
$- a$
Does not exist

A

Does not exist

B

a

C

- a

D

0

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Solution

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Given : $lim x \to a \frac{x - a}{| x - a |}$

Considering $R H L = lim x \to a \frac{x - a}{| x - a |} = lim x \to a^{+} \frac{x - a}{x - a} = 1$

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