Let fx=2×3-5,. denotes the greatest integer function. Then number of points in (1, 2) where the function is discontinuous, is

Let fx=2x3-5,. denotes the greatest integer function. Then number of points in (1, 2) where the 

function is discontinuous, is

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    Solution:

    Since ϕ(x)=2x35 is an increasing function on(1, 2) such that  ϕ(1)=3 and ϕ(2)=11.

    Clearly, between - 3 and 11 there are thirteen points wheref(x)=2x35 is discontinuous

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