JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 25th July Morning Shift
Question
Let be defined as
where [x] is the greatest integer less than or equal to x. Which of the following is true?
where [x] is the greatest integer less than or equal to x. Which of the following is true?
Choose an option
Show full solutionCorrect option: A
Correct answer
Af is continuous at every point in and differentiable except at the integer points.
Step-by-step explanation
Let
So,
Note
so f(x) is cont. x 0 nd diff. except at integer points
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