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Limits Continuity and Differentiability · 2021 · 20 Jul · Shift 2

3 Mathematics questions from this JEE Main paper

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JEE Main
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2021 · 20 Jul · Shift 2
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2021 · 20 Jul · Shift 2

3 Mathematics questions from this JEE Main paper

Q30.If $f : R \to R$ is given by $f (x) = x + 1$ , then the value of $n \to \infty lim \frac{1}{n} [f (0) + f (\frac{5}{n}) + f (\frac{10}{n}) + ...... + f (\frac{5 ( n - 1 )}{n})]$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q44.Let a function $g : [0, 4] \to R$ be defined as $g (x) = {0 \leq t \leq x max {t^{3} - 6 t^{2} + 9 t - 3} 4 - x 0 \leq x \leq 3 3 < x \leq 4$ then the number of…
Mathematics · Limits Continuity and Differentiability · Numerical
Q45.If $x \to 0 lim \frac{α x e ^{x} - β l o g _{e} ( 1 + x ) + γ x ^{2} e ^{- x}}{x s i n ^{2} x} = 10, α, β, γ \in R$ , then the value of $α$ + $β$ + $γ$ is .
Mathematics · Limits Continuity and Differentiability · Numerical