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Limits Continuity and Differentiability question

2022 · 24 Jun · Shift 1 · Q39

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 24 Jun · Shift 1 · Q39

Limits Continuity and Differentiability question

2022 · 24 Jun · Shift 1 · Q39

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

The number of points where the function

f(x) = \left\{ \begin{array}{lcl} |2x^2 - 3x - 7| & \text{if} & x \le -1 \\ [4x^2 - 1] & \text{if} & -1 \lt x \lt 1 \\ |x + 1| + |x - 2| & \text{if} & x \ge 1 \end{array} \right.

where

[t]

denotes the greatest integer

\le t

, is discontinuous is

\underline{\hspace{2cm}}

.

Numerical answer

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