Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let a function f : R → R be defined as
Where [x] is the greatest integer less than or equal to x. If f is continuous on R, then (a+b) is equal to:
Text Solution
Verified by ExpertsThe correct answer is:
B
Continuous at x = 0
f (0 + ) = f (0 − )
⇒ a − 1 = 0 − e 0
⇒ a = 0
Continuous at x = 1
f (1 + ) = f (1 − ) ⇒ 2(1) − b = a + (−1)
⇒ b = 2 − a + 1 ⇒ b = 3
∴ a + b = 3
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