Let [ t ] denote the greatest integer less than or equal to t . Let f : [ 0 , ∞ ) → R be a function defined by f ( x ) = [ 2 x + 3 ] − [ x ] . Let S be the set of all points in the interval [ 0 ,

Question

Let [ t ] denote the greatest integer less than or equal to t . Let f : [ 0 , ∞ ) → R be a function defined by f ( x ) = [ 2 x ​ + 3 ] − [ x ​ ] . Let S be the set of all points in the interval [ 0 , 8 ] at which f is not continuous. Then ∑ a ∈ S ​ a is equal to _______

TestHub · Accepted Answer

[ 2 x ​ + 3 ] is discontinuous at x = 2 , 4 , 6 , 8 x ​ is discontinuous at x = 1 , 4 F ( x ) is discontinuous at x = 1 , 2 , 6 , 8 ∑ a = 1 + 2 + 6 + 8 = 17

Mathematics - Continuity - Differentiability Question with Solution | TestHub

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