JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \([x]\) denote the greatest integer function, and let m and n respectively be the numbers of the points, where the function \(f(x)=[x]+|x-2|,-2 \lt x \lt 3\), is not continuous and not differentiable. Then \(\mathrm{m}+\mathrm{n}\) is equal to :
- A 6
- B 8
- C 9
- D 7
Answer & Solution
Correct Answer
(B) 8
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & f(x)=[x]+|x-2|,-2 It is clearly discontinues at 4 points and nondifferentiable at 4 points. \(\therefore \quad m+n=8\)
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