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Find all points of discontinuity of f, where f is defined by
Asked by Rahul Last Modified
Answer The given function f is
The given function f is defined at all the points of the real line.
Let c be a point on the real line.
Case I:
Therefore, f is continuous at all points x, such that x < 1
Case II:
The left hand limit of f at x = 1 is,
The right hand limit of f at x = 1 is,
Therefore, f is continuous at x = 1
Case III:
Therefore, f is continuous at all points x, such that x > 1
Hence, the given function f has no point of discontinuity.
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Karunakaran Thangaraj
IIM_home_Tuition Tutor Chennai mathematics 100%
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