Let f : R ® R be defined as
where a, b, c
R and [t] denotes greatest integer less than or equal to t. Then, which of the following statements is true?
Let f : R ® R be defined as
where a, b, c R and [t] denotes greatest integer less than or equal to t. Then, which of the following statements is true?
Option 1 -
There exists a, b, c
R such that f is continuous on R.
Option 2 -
If f is discontinuous at exactly one point, then a + b + c = 1.
Option 3 -
If f is discontinuous at exactly one point, then a + b + c 1
Option 4 -
f is discontinuous at atleast two points, for any values of a, b and c
Asked by Shiksha User
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1 Answer
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Correct Option - 3
Detailed Solution:For x < 0 0 < ex < 1 Þ [ex] = 0
= a ex – 1 b + [sin px]
For f to be continuous at x = 0
a – 1 = 0 Þ a = 1
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