Let [t] denote the greatest integer ≤ t. The number of points where the function \f(x)=[x]|x^{2}-1|+\sin (\frac{\\pi}{[x]+3})-[x+1], x \in(-2,2) is not continuous is [1 Sep 2021 Shift 2]

Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 51 of 100

Marks: +1, -0

Let [t] denote the greatest integer ≤ t. The number of points where the function f(x)=[x]|x2−1|+sin(

[x]+3

)−[x+1],x‌in(−2,2) is not continuous is

[1 Sep 2021 Shift 2]

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