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Limits Continuity and Differentiability · 2024 · 6 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

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2024 · 6 Apr · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2024 · 6 Apr · Shift 2

2 Mathematics questions from this JEE Main paper

Q34. $lim_{n \to \infty} \frac{( 1 ^{2} - 1 ) ( n - 1 ) + ( 2 ^{2} - 2 ) ( n - 2 ) + \dots + ( ( n - 1 ) ^{2} - ( n - 1 ) ) \cdot 1}{( 1 ^{3} + 2 ^{3} + \dots\dots + n ^{3} ) - ( 1 ^{2} + 2 ^{2} + \dots\dots + n ^{2} )}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q50.Let $[t]$ denote the greatest integer less than or equal to $t$ . Let $f : [0, \infty) \to R$ be a function defined by $f (x) = [\frac{x}{2} + 3] - [x]$ . Let $S$ be the set of all points in the…
Mathematics · Limits Continuity and Differentiability · Numerical