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Continuity of a Function

If f x =| x -...

Question

If $f (x) = | x - b |$ , then function

A

Is continuous at x = 1

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B

Is continuous at x = b

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C

Is discontinuous at x = b

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D

None of these

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Solution

The correct option is B Is continuous at x = b
Obviously ${lim}_{x \to b} f (x) = f (b) = 0$

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