JEE Main202528 Jan 2025Morning ShiftMathematicsContinuity and DifferentiabilityActual
Let f (x)= array lc 3 x, & x 0 1+x+[x], x+2[x] , & 0 x 2 5, & x 2, array . where [.] denotes greatest integer function. If and are the number of points, where f is not continuous and is not differentiable, respectively, then + equals __________
Correct answer
0
Step-by-step solution
f(x)= array ccc 3 x & ; & x 2 array .f(x)= array ccc 3 x & ; & x 2 array . Not continuous at x 1,2 =2 Not diff. at x 0,1,2 =3 + =5