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Limits Continuity and Differentiability · 2023 · 6 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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2023 · 6 Apr · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2023 · 6 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q32.Let $a_{1}, a_{2}, a_{3}, \dots, a_{n}$ be $n$ positive consecutive terms of an arithmetic progression. If $d > 0$ is its common difference, then $lim_{n \to \infty} \frac{d}{n} (\frac{1}{a _{1} + a _{2}} + \frac{1}{a _{2} + a _{3}} + \dots\dots\dots + \frac{1}{a _{n - 1} + a _{n}})$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q39.Let $a \in Z$ and $[t]$ be the greatest integer $f (x) = [a + 13 sin x], x \in (0, π)$ . Then the number of points, where the function $f (x) = [a + 13 sin x], x \in (0, π)$ is not differentiable, is .
Mathematics · Limits Continuity and Differentiability · Numerical