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The function f(x) = [x], where [x] denotes the greatest integer less than or equal to x; is continuous at ______. - Mathematics

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प्रश्न

The function f(x) = [x], where [x] denotes the greatest integer less than or equal to x; is continuous at ______.

विकल्प

  • x = 1

  • x = 1.5

  • x = – 2

  • x = 1

MCQ
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उत्तर

The function f(x) = [x], where [x] denotes the greatest integer less than or equal to x; is continuous at x = 1.5.

Explanation:

We know that the biggest integer function is continuous only on non-integral points, not on integers.

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