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Limits Continuity and Differentiability · 2024 · 4 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 4 Apr · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2024 · 4 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q50.Let $f : R \to R$ be a function given by $f (x) = {\frac{1 - c o s 2 x}{x ^{2}}, x 0$ where $α, β \in R$ . If $f$ is continuous at $x = 0$ , then $α^{2} + β^{2}$ is equal…
Mathematics · Limits Continuity and Differentiability · MCQ
Q54.If $lim_{x \to 1} \frac{( 5 x + 1 ) ^{1/3} - ( x + 5 ) ^{1/3}}{( 2 x + 3 ) ^{1/2} - ( x + 4 ) ^{1/2}} = \frac{m 5}{n ( 2 n ) ^{2/3}}$ , where $gcd (m, n) = 1$ , then $8 m + 12 n$ …
Mathematics · Limits Continuity and Differentiability · Numerical