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Limits Continuity and Differentiability · 2017 · Shift 1

3 Mathematics questions from this JEE Advanced paper
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Limits Continuity and Differentiability · 2017 · Shift 1

3 Mathematics questions from this JEE Advanced paper

  1. Q20.Let f : R → (0, 1) be a continuous function. Then, which of the following function(s) has (have) the value zero at some point in the interval (0, 1) ?
    Mathematics · Limits Continuity and Differentiability · Multiple correct
  2. Q23.Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function f(x)=xcos(π(x+[x])) is discontinuous?
    Mathematics · Limits Continuity and Differentiability · Multiple correct
  3. Q28.Let f : R → R be a differentiable function such that f(0) = 0, f(2π​)=3 and f'(0) = 1. If g(x)=x∫π/2​[f′(t)cosect−cottcosectf(t)]dt for x∈(0,2π​]…
    Mathematics · Limits Continuity and Differentiability · Numerical