JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

f(x)=\left\{\begin{array}{r}\frac{|x-a|}{x-a}, \text { when } x \neq a \\ 1, \text { when } x=a\end{array}\right.

, then:

View answer and explanation

Correct option: B

f(x)

is discontinuous at

x=a

Option B (

f(x)

is discontinuous at

x=a

) is correct because the left-hand limit and right-hand limit at

x=a

are not equal, indicating a discontinuity.

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