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Limits Continuity and Differentiability question

2023 · 15 Apr · Shift 1 · Q29

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 15 Apr · Shift 1 · Q29

Limits Continuity and Differentiability question

2023 · 15 Apr · Shift 1 · Q29

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

[x]

denote the greatest integer function and

f(x)=\max \{1+x+[x], 2+x, x+2[x]\}, 0 \leq x \leq 2

. Let

m

be the number of points in

[0,2]

, where

f

is not continuous and

n

be the number of points in

(0,2)

, where

f

is not differentiable. Then

(m+n)^{2}+2

is equal to :

A
3
B
6
C
2
D
11

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