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Choose the correct alternative: Let f : R → R be defined by is irrationalis rationalf(x)={xx is irrational1-xx is rational then f is - Mathematics

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प्रश्न

Choose the correct alternative:

Let f : R → R be defined by `f(x) = {{:(x, x  "is irrational"),(1 - x, x  "is rational"):}` then f is

विकल्प

  • Discontinuous at x = `1/2`

  • Continuous at x = `1/2`

  • Continuous everywhere

  • Discontinuous everywhere

MCQ

उत्तर

Continuous at x = `1/2`

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Continuity
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Differential Calculus - Limits and Continuity - Exercise 9.6 [पृष्ठ १३१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 9 Differential Calculus - Limits and Continuity
Exercise 9.6 | Q 22 | पृष्ठ १३१

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