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  • The number of points of discontinuity in <img alt="x \in[1,3] \text { for } f(x)=\lef

The number of points of discontinuity in x \in[1,3] \text { for } f(x)=\left[x^2+1\right]  where [ . ] represents greatest integer function is 

 

Option: 1

2


Option: 2

4


Option: 3

7


Option: 4

8


Answers (1)

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In x \in[1,3], f(x)  is discontinuous at x=\sqrt{2}, \sqrt{3}, 2, \sqrt{5}, \sqrt{6}, \sqrt{7}, \sqrt{8}, 3 \text { i.e } 8 \text { points }

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