Let [ t ] denote the greatest integer less than or equal to t . Let f:[0, ) R be a function defined by f(x)= [ x 2 +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 ____

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Let [ t ] denote the greatest integer less than or equal to t . Let f:[0, ) R be a function defined by f(x)= [ x 2 +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 _______

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[ x 2 +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

Let [ t ] denote the greatest integer less than or equal to t . Let f:[0, ) R be a function defined by f(x)= [ x 2 +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 _______

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