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Limits Continuity and Differentiability · 2021 · 27 Jul · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2021 · 27 Jul · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2021 · 27 Jul · Shift 1

3 Mathematics questions from this JEE Main paper

Q32.Let $f : (- \frac{π}{4}, \frac{π}{4}) \to R$ be defined as $f (x) = ⎩ ⎨ ⎧ (1 + ∣ sin x ∣)^{\frac{3 a}{∣ s i n x ∣}} b e^{c o t 4 x / c o t 2 x},,, - \frac{π}{4} < x < 0 x = 0 0 < x < \frac{π}{4}$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.Let f : R $\to$ R be a function such that f(2) = 4 and f'(2) = 1. Then, the value of $x \to 2 lim \frac{x ^{2} f ( 2 ) - 4 f ( x )}{x - 2}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q47.Let $f : [0, 3] \to R$ be defined by $f (x) = min {x - [x], 1 + [x] - x}$ where [x] is the greatest integer less than or equal to x. Let P denote the set containing all x $\in$ [0, 3] where f i discontinuous, and Q denote the set containing…
Mathematics · Limits Continuity and Differentiability · Numerical