Let [t] denote the greatest integer ≤ t. The number of points where the function f(x) = [x]| x² - 1 | + sin ((π)/([x] + 3)) - [x + 1],x (- 2,2) is not continuous is _ _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 1 Sep, Evening shift · Q36

JEE Main 20211 Sep, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 1 Sep, Evening shift · Q36

JEE Main 20211 Sep, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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 _____________.

Your answerType your answer. Integers and decimals are accepted.