Mathematics · Continuity and Differentiability
If f : R → R is a function defined by f(x) = [x - 1] cos(2x - 12)π, where [.] denotes the greatest integer function, then f is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Continuous for every real x✓
- 2Continuous only at x = 1
- 3Discontinuous at all integral values of x except at x = 1
- 4Discontinuous only at x = 1
Correct answer
Continuous for every real x
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