JEE Main 2024 Mathematics question
Consider the function. Where [x] denotes greatest integer less than or equal to, if S denotes the set of all ordered pairs (a, b) such that f(x) is continuous at x = 3, then the number of elements in S is :
Answer: (C)
Solution
For x → 3⁺, sin(x−3)/(x − [x]) = sin(x−3)/(x−3) → 1, so f(3⁺) = 2. For x → 3⁻, x² − 7x + 12 > 0, so 7x − 12 − x² =
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account