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Limits Continuity and Differentiability · 2021 · 16 Mar · Shift 1

3 Mathematics questions from this JEE Main paper

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JEE Main
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2021 · 16 Mar · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2021 · 16 Mar · Shift 1

3 Mathematics questions from this JEE Main paper

Q24.Let $S_{k} = r = 1 \sum k tan^{- 1} (\frac{6 ^{r}}{2 ^{2 r + 1} + 3 ^{2 r + 1}})$ . Then $k \to \infty lim S_{k}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q31.Let the functions f : R $\to$ R and g : R $\to$ R be defined as : $f (x) = {x + 2, x^{2}, x < 0 x \geq 0$ and $g (x) = {x^{3}, 3 x - 2, x < 1 x \geq 1$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q41.If $x \to 0 lim \frac{a e ^{x} - b c o s x + c e ^{- x}}{x s i n x} = 2$ , then a + b + c is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical