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Limits Continuity and Differentiability question

2022 · 24 Jun · Shift 2 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 24 Jun · Shift 2 · Q26

Limits Continuity and Differentiability question

2022 · 24 Jun · Shift 2 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let

f(x) = \left\{ \begin{array}{ll} \dfrac{\sin(x - [x])}{x - [x]} & , x \in (-2, -1) \\ \max\{2x, 3[|x|]\} & , |x| \lt 1 \\ 1 & , \text{otherwise} \end{array} \right.

where

[t]

denotes greatest integer

\le t

. If

m

is the number of points where

f

is not continuous and

n

is the number of points where

f

is not differentiable, then the ordered pair

(m, n)

is :

A
(3, 3)
B
(2, 4)
C
(2, 3)
D
(3, 4)

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