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Limits Continuity and Differentiability question

2021 · 26 Aug · Shift 2 · Q23

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 26 Aug · Shift 2 · Q23

Limits Continuity and Differentiability question

2021 · 26 Aug · Shift 2 · Q23

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let [t] denote the greatest integer less than or equal to t. Let f(x) = x

-

[x], g(x) = 1

-

x + [x], and h(x) = min{f(x), g(x)}, x

\in

[

-

2, 2]. Then h is :

A
continuous in [ $-$ 2, 2] but not differentiable at more than four points in ( $-$ 2, 2)
B
not continuous at exactly three points in [ $-$ 2, 2]
C
continuous in [ $-$ 2, 2] but not differentiable at exactly three points in ( $-$ 2, 2)
D
not continuous at exactly four points in [ $-$ 2, 2]

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