Assertion $(A)$: $\lim _{x \rightarrow 0} \frac{1}{x} = \infty$
Reason $(R)$: As the value of $x$ decreases,the value of $\frac{1}{x}$ increases.
Reason $(R)$: As the value of $x$ decreases,the value of $\frac{1}{x}$ increases.
- ABoth $A$ and $R$ are true,and $R$ is the correct explanation of $A$.
- BBoth $A$ and $R$ are true,and $R$ is not the correct explanation of $A$.
- C$A$ is true and $R$ is false.
- D$A$ is false and $R$ is true.
Explore More
Similar Questions
$\mathop {\lim }\limits_{x \to \infty } \frac{{2{x^2} - 3x + 1}}{{{x^2} - 1}} = $
Easy
View Solution$\mathop {\lim }\limits_{x \to \infty } \,{\left( {\frac{{x + a}}{{x + b}}} \right)^{x + b}} = $
Medium
View Solution$\lim _{x \rightarrow 0} \frac{\sin ^2 x}{\sqrt{2}-\sqrt{1+\cos x}}$ equals
$\mathop {\lim }\limits_{x \to 0} \frac{{\sqrt {1 - {x^2}} - \sqrt {1 + {x^2}} }}{{{x^2}}}$ is equal to
Medium
View Solution$\lim _{x \rightarrow 0}(1+3x)^{\frac{2}{x}} = $
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo