JEE MAIN Limit Previous Year Questions (PYQs) – Page 1 of 9
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations
Study Stuff for MCA Examinations
$\displaystyle \lim_{x\to 0}\frac{\sin(\pi \cos^{2}x)}{x^{2}}$ is equal to :
1
2
3
4
Solution
$\lim_{x \to 1} \left( \dfrac{\int_{0}^{(x-1)^{2}} t \cos(t^{2}) \, dt}{(x-1)\sin(x-1)} \right)$
1
2
3
4
Solution
Let $\beta=\lim_{x\to 0}\dfrac{\alpha x-(e^{3x}-1)}{\alpha x(e^{3x}-1)}$ for some $\alpha\in\mathbb{R}$.
Then the value of $\alpha+\beta$ is:
1
2
3
4
Solution
$\lim_{x\to 0}\dfrac{x+2\sin x}{\sqrt{x^{2}+2\sin x+1}-\sqrt{\sin^{2}x-x+1}}$ is:
1
2
3
4
Solution
Let f : R $\to$ R be a function such that f(2) = 4 and f'(2) = 1. Then, the value of $\mathop {\lim }\limits_{x \to 2} {{{x^2}f(2) - 4f(x)} \over {x - 2}}$ is equal to :
1
2
3
4
Solution
$\displaystyle \lim_{x\to\infty}\frac{(2x^{2}-3x+5),(3x-1)^{x/2}}{(3x^{2}+5x+4),\sqrt{(3x+2)^{x}}}$ is equal to:
1
2
3
4
Solution
$\displaystyle \lim_{x\to 0}\frac{(1-\cos 2x)(3+\cos x)}{x\tan 4x}$ is equal to :
1
2
3
4
Solution
Let $f$ be a differentiable function on $\mathbb{R}$ such that $f(2)=1,\ f'(2)=4$.
Let $\displaystyle \lim_{x\to 0}\big(f(2+x)\big)^{\frac{3}{x}}=e^{\alpha}$.
Then the number of times the curve $y=4x^3-4x^2-4(\alpha-7)x-\alpha$ meets the $x$-axis is:
1
2
3
4
Solution
Let $[x]$ denote the greatest integer less than or equal to $x$. Then
$\displaystyle \lim_{x\to 0}\frac{\tan(\pi\sin^{2}x)+\left(|x|-\sin(x[x])\right)^{2}}{x^{2}}$ :
1
2
3
4
Solution
$\displaystyle \lim_{x\to 0^{+}}\frac{\tan\big(5x^{1/5}\big),\ln(1+3x^{2})}{\big(\tan^{-1}(3\sqrt{2})\big),\big(e^{x\sqrt{3}}-1\big)}$ is equal to
1
2
3
4
Solution
JEE MAIN
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
JEE MAIN
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
