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Questions › UoH › UoH 2012 › Q43
1 mark, −0.33Mathematics › Limits, continuity and differentiability › Differentiability and its link to continuityModerateabout 1 min

UoH 2012 Question 43: Limits, continuity and differentiability

Which of the following statement is true?

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

What this question tests

This question is on Differentiability and its link to continuity, part of Limits, continuity and differentiability in Mathematics.

When a derivative exists and why differentiability implies continuity but not conversely.

TestStop has 12 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q35Let f be defined on (-π/2, π/2) by f(x) = (cos (π/2 + |x|))/(sin (π/2 - |x|)). Then,
  • IIT JAM 2022 · Q34Let f be defined by f(x) = |x| + |cos (π/2 - x)| for x ∈ (-π/2, π/2). Then
Practise Limits, continuity and differentiabilityMore on Differentiability and its link to continuity

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Question from the UoH 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.