Let f : R -> R be defined as
If f(x) is continuous on R, then a + b equals:
Let f : R -> R be defined as
If f(x) is continuous on R, then a + b equals:
Option 1 -
-1
Option 2 -
2
Option 3 -
0
Option 4 -
4
Asked by Shiksha User
-
1 Answer
-
Correct Option - 1
Detailed Solution:Given
If f (x) is continuous for all then it should be continuous at x = 1 & x = -1
At x = -1, L.H.L = R.H.L. Þ 2 = |a + b - 1|
->a + b – 3 = 0 OR a + b + 1 = 0 . (i)
-> a + b + 1 = 0 . (ii)
(i) & (ii), a + b =-1
Taking an Exam? Selecting a College?
Get authentic answers from experts, students and alumni that you won't find anywhere else
Sign Up on ShikshaOn Shiksha, get access to
- 65k Colleges
- 1.2k Exams
- 688k Reviews
- 1800k Answers