114.
Find all points of discontinuity of f, where f is defined by


Function f is defined at all points of the real line.
Let c be any real number.
Three cases arise ;
Case I ; c < 2

∴ f is continuous at all points x < 2.
Case II : c > 2

∴ f is continuous at all points x > 2
CaseIII ; c = 2

∴ f is continuous at x = 2.
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