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Limits Continuity and Differentiability · 2025 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
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2025 · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2025 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q19.Let $R$ denote the set of all real numbers. Define the function $f : R \to R$ by $f (x) = {2 - 2 x^{2} - x^{2} sin \frac{1}{x} 2 if x e q 0, if x = 0.$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let α and β be the real numbers such that $x \to 0 lim \frac{1}{x ^{3}} (\frac{α}{2} 0 \int x \frac{1}{1 - t ^{2}} d t + β x cos x) = 2.$ Then the value of α + β is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q31.Let $R$ denote the set of all real numbers. For a real number $x$ , let [ x ] denote the greatest integer less than or equal to $x$ . Let $n$ denote a natural number. Match each entry in List-I to the correct entry in List-II and… Includes table
Mathematics · Limits Continuity and Differentiability · MCQ