If f : R → R is a function defined by f(x) = [x − 1] cos (2221) π, where [.] denotes the greatest integer function, then f is: (1) discontinuous only at x = 1 (2) discontinuous at all integral values of x except at x = 1 (3) continuous only at x = 1 (4) continuous for every real x

If f : R → R is a function defined by f(x) = [x − 1] cos (2221) π, where [.] denotes the greatest integer function, then f is: (1) discontinuous only at x = 1 (2) discontinuous at all integral values of x except at x = 1 (3) continuous only at x = 1 (4) continuous for every real x

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.

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Need detailed solutions, wrong will be downvoted, no AI. i know the correct answer

If f : R → R is a function defined by f(x) = [x − 1] cos (2221) π, where [.] denotes the greatest
integer function, then f is:
(1) discontinuous only at x = 1
(2) discontinuous at all integral values of x except at x = 1
(3) continuous only at x =
1
(4) continuous for every real x

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