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Limits Continuity and Differentiability · 2018 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2018 · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2018 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q24.Let f : (0, $π$ ) $\to$ R be a twice differentiable function such that $t \to x lim \frac{f ( x ) s i n t - f ( t ) s i n x}{t - x} = sin^{2} x$ for all x $\in$ (0, $π$ ). If $f (\frac{π}{6}) = - \frac{π}{12}$ …
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q36.Let $f_{1} : R \to R$ , $f_{2} : (- \frac{π}{2}, \frac{π}{2}) \to R$ , $f_{3} : (- 1, e^{π /2} - 2) \to R$ and $f_{4} : R \to R$ be functions defined by (i) $f_{1} (x) = sin (1 - e^{- x^{2}})$ …
Mathematics · Limits Continuity and Differentiability · MCQ