Assertion (A): $\lim _{x \rightarrow 0} \frac{1}{x}=\infty$ Reason (R): As the value of $x$ decreases, the…

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
  1. Both A, R are true, and R is correct explanation of $\mathrm{A}$
  2. A, R are both true and $\mathrm{R}$ is not the correct explanation of $A$
  3. A is true and $\mathrm{R}$ is false
  4. A is false and $\mathrm{R}$ is true

Solution

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.

Asked in: AP EAMCET 2023 (16 May Shift 2)

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