If f : R → R is a function defined by f ( x ) = [ x ] cos ( 2 x-1 2 ) , where [ x ]…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If f : R → R is a function defined by f(x)
= [x] cos\(\left(\frac{2 x-1}{2}\right) \pi\), where [x] denotes the greatest integer function, then f is
= [x] cos\(\left(\frac{2 x-1}{2}\right) \pi\), where [x] denotes the greatest integer function, then f is
- discontinuous only at non-zero integral values of x.
- continuous only at x = 0 .
- continuous for every real x.
- discontinuous only at x = 0 .
Answer
(D) discontinuous only at x = 0 .
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