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Limits Continuity and Differentiability question

2021 · 24 Feb · Shift 1 · Q24
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  5. /2021 · 24 Feb · Shift 1 · Q24

Limits Continuity and Differentiability question

2021 · 24 Feb · Shift 1 · Q24

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1
If f : R →\to→ R is a function defined by f(x)= [x - 1] cos⁡(2x−12)π\cos \left( {{{2x - 1} \over 2}} \right)\picos(22x−1​)π, where [.] denotes the greatest integer function, then f is :
  1. A
    continuous for every real x
  2. B
    discontinuous at all integral values of x except at x = 1
  3. C
    discontinuous only at x = 1
  4. D
    continuous only at x = 1
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