For a real number y , let [ y ] denote the greatest integer less than or equal to y …
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
For a real number y, let [y] denote the greatest integer less than or equal to y. Then the function
\(f(x)=\frac{\tan \pi[(x-\pi)]}{1+[x]^{2}} \text { is }\)
\(f(x)=\frac{\tan \pi[(x-\pi)]}{1+[x]^{2}} \text { is }\)
- discontinuous at some x
- continuous at all x, but the derivative f
- f
- f
Answer
(A) discontinuous at some x
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