Let f x = x x 2 + x x 2 + x x 2 + x x 2 , ∀ x ∈ 0,10 (where · and · are the greatest integer and fractional part functions respectively). The number of points of discontinuity of f x is

Question

Let f x = x x 2 + x x 2 + x x 2 + x x 2 , ∀ x ∈ 0,10 (where · and · are the greatest integer and fractional part functions respectively). The number of points of discontinuity of f x is,

MARKS App · Accepted Answer

f x = x x 2 + x 2 + x x 2 + x 2 = x + x x 2 + x 2 = x . x 2 = x 3 Hence, f x is continuous ∀ x ∈ 0,10

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