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Limits Continuity and Differentiability question

2021 · 1 Sep · Shift 2 · Q45

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 1 Sep · Shift 2 · Q45

Limits Continuity and Differentiability question

2021 · 1 Sep · Shift 2 · Q45

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let [t] denote the greatest integer

\le

t. The number of points where the function

f(x) = [x]\left| {{x^2} - 1} \right| + \sin \left( {{\pi \over {[x] + 3}}} \right) - [x + 1],x \in ( - 2,2)

is not continuous is

\underline{\hspace{2cm}}

.

Numerical answer

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