Find all the points of discontinuity of the function f defined by
Function f is defined for ail points of the real line.
Let c be any real number.
Three cases arise :
Case I : c < 1
∴ f is continuous at all points.x < 1.
Case II : c > 1
∴ f is continuous at all points x > 1.
Case III : c = 1
∴ f is not continuous at x = 1
∴ x = 1 is the only point of discontinuity of f
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