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Q.

Let [x] denote the greatest integer function, and let m and n respectively be the numbers of the points, where the function  f(x) = [x] + |x  2|,  2 < x < 3, is not continuous and not differentiable. Then  m + n is equal to: 

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An Intiative by Sri Chaitanya

a

8

b

7

c

6

d

9

answer is C.

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Detailed Solution

f(x)=[x]+|x2| 2<x<3
f(x)=x,2<x<1x+1,1x<0x+2,0x<1x+3,1x<2x,2x<3
So f(x) is not continuous at 4 points and not differentiable at 4 point
So m + n = 4 + 4 = 8 

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