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Limits Continuity and Differentiability question

2019 · 8 Apr · Shift 2 · Q43

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 8 Apr · Shift 2 · Q43

Limits Continuity and Differentiability question

2019 · 8 Apr · Shift 2 · Q43

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let ƒ : [–1,3]

\to

R be defined as

f(x) = \left\{ {\begin{matrix} {\left| x \right| + \left[ x \right]} & , & { - 1 \le x \lt 1} \\ {x + \left| x \right|} & , & {1 \le x \lt 2} \\ {x + \left[ x \right]} & , & {2 \le x \le 3} \\ \end{matrix} } \right.

where [t] denotes the greatest integer less than or equal to t. Then, ƒ is discontinuous at:

A
only three points
B
four or more points
C
only two points
D
only one point

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