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Grade 12Differential Calculus

The points of discontinuity of the function

f(x) = [x] sin Π / [x+1]

where[.] denotes the gretest integer function, are

(a) x belonging to I - {-1,0}

(b) x belonging to I - {0}

(c) x belonging to I - {-1}

(d)none of these

Profile image of Tushar  Watts
16 Years agoGrade 12
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1 Answer

Profile image of bibhash jha
16 Years ago

 

f(x)= n/sin(pi/n+1)   where  n<=x<n +1  where n is an integer

 

so the function is continuous everywhere except x= -1