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Limits Continuity and Differentiability · 2022 · 28 Jul · Shift 1

2 Mathematics questions from this JEE Main paper

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2022 · 28 Jul · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2022 · 28 Jul · Shift 1

2 Mathematics questions from this JEE Main paper

Q40.Let $f : [0, 1] \to R$ be a twice differentiable function in $(0, 1)$ such that $f (0) = 3$ and $f (1) = 5$ . If the line $y = 2 x + 3$ intersects the graph of $f$ at only two distinct points in $(0, 1)$ , then the least number of points…
Mathematics · Limits Continuity and Differentiability · Numerical
Q45. $x \to 0 lim (\frac{( x + 2 c o s x ) ^{3} + 2 ( x + 2 c o s x ) ^{2} + 3 s i n ( x + 2 c o s x )}{( x + 2 ) ^{3} + 2 ( x + 2 ) ^{2} + 3 s i n ( x + 2 )})^{\frac{100}{x}}$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical