Let f(x)={x,0≤x<12x12≤x<1 ∀x∈[−72,72]. If L is number of point of discontinuity and M is the number of point on non-differentiability of the function f(x), then find the value of |L – M|. [Note: [y] and {y} denotes greatest integer function less than or equal to y and fractional part of y respectively.]
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
answer is 7.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
L = Number of point of discontinuous = 7 M = Number of point non-differentiability = 14 Hence, L−M=7
Let f(x)={x,0≤x<12x12≤x<1 ∀x∈[−72,72]. If L is number of point of discontinuity and M is the number of point on non-differentiability of the function f(x), then find the value of |L – M|. [Note: [y] and {y} denotes greatest integer function less than or equal to y and fractional part of y respectively.]