Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
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
MathematicsLimitsAP EAMCETAP EAMCET 2023 (16 May Shift 2)
Options:
  • A Both A, R are true, and R is correct explanation of $\mathrm{A}$
  • B A, R are both true and $\mathrm{R}$ is not the correct explanation of $A$
  • C A is true and $\mathrm{R}$ is false
  • D A is false and $\mathrm{R}$ is true
Solution:
1983 Upvotes Verified Answer
The correct answer is: A is false and $\mathrm{R}$ is true
Since $\lim _{x \rightarrow 0} \frac{1}{x} \neq \infty$
So assertion (A) is false.
And if $\mathrm{x}$ decreases then $\frac{1}{\mathrm{x}}$ is increases so reason $\mathrm{R}$ is true.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.