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Limits Continuity and Differentiability question

2020 · 9 Jan · Shift 2 · Q37

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 9 Jan · Shift 2 · Q37

Limits Continuity and Differentiability question

2020 · 9 Jan · Shift 2 · Q37

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let [t] denote the greatest integer

\le

t and

\mathop {\lim }\limits_{x \to 0} x\left[ {{4 \over x}} \right] = A

. Then the function, f(x) = [x2]sin(

\pi

x) is discontinuous, when x is equal to :

A
$\sqrt {A + 1}$
B
$\sqrt {A + 5}$
C
$\sqrt {A + 21}$
D
$\sqrt {A}$

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