f is defined in [–5, 5] as f(x)= array l x, if x is rational -x, if x is irrational array…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
f is defined in [–5, 5] as
\(f(x)=\left\{\begin{array}{l} x, \text { if } x \text { is rational } \\ -x, \text { if } x \text { is irrational } \end{array}\right.\)
Then
\(f(x)=\left\{\begin{array}{l} x, \text { if } x \text { is rational } \\ -x, \text { if } x \text { is irrational } \end{array}\right.\)
Then
- f(x) is continuous at every x, except x = 0
- f(x) is discontinuous at every x, except x = 0
- f(x) is continuous everywhere
- f(x) is discontinuous everywhere
Answer
(A) f ( x ) is continuous at every x , except x = 0
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