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Questions › JNU › JNU SSS 2014 › Q56
2 marks, −0.5Mathematics › Limits, continuity and differentiability › Continuity and discontinuitiesModerateabout 2 min

JNU SSS 2014 Question 56: Limits, continuity and differentiability

Let f(x)=[x]f(x) = [x]f(x)=[x], where [x][x][x] denotes the greatest integer ≤x\leq x≤x. On which of the following intervals is fff a continuous function?

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Plain-text version

Let f(x) = [x], where [x] denotes the greatest integer ≤ x. On which of the following intervals is f a continuous function? (A) [-2, -1] (B) (-2, -1] (C) [-2, -1) (D) None of the above

Also written as: Let f(x) = [x], where [x] denotes the greatest integer <= x. On which of the following intervals is f a continuous function?

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Continuity and discontinuities, part of Limits, continuity and differentiability in Mathematics.

When a function is continuous at a point and what kinds of breaks occur.

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Practise Limits, continuity and differentiabilityMore on Continuity and discontinuities

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