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Definite Integration · 2016 · Shift 2

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2016 · Shift 2
Mathematics
Definite Integration

Definite Integration · 2016 · Shift 2

2 Mathematics questions from this JEE Advanced paper

Q25.Let $f (x) = n \to \infty lim (\frac{n ^{n} ( x + n ) ( x + \frac{n}{2} ) ... ( x + \frac{n}{n} )}{n ! ( x ^{2} + n ^{2} ) ( x ^{2} + \frac{n ^{2}}{4} ) .... ( x ^{2} + \frac{n ^{2}}{n ^{2}} )})^{\frac{x}{n}},$ …
Mathematics · Definite Integration · Multiple correct
Q27.The value of $- \frac{π}{2} \int \frac{π}{2} \frac{x ^{2} c o s x}{1 + e ^{x}} d x$ is equal to
Mathematics · Definite Integration · MCQ