Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Limits

NDA 2012 · Mathematics · Limits

Consider the following: 1. _ x arrow 0 (1)/(x) exists. 2. _ x arrow...

Consider the following: 1. lim⁡x→01x\lim _{x \rightarrow 0} \frac{1}{x} exists. 2. lim⁡x→0e1x\lim _{x \rightarrow 0} e^{\frac{1}{x}} does not exist. Which of the above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

B. 2 only

Step-by-step solution

The correct answer is option B.
Practice Limits on Quantrex Academy →

More from Limits

What is _ x→1 x^ (n^2-1) -1 x^ (n+1) -1 equal to, where n > 1 is a natural number ? NDA 2026What is _ x→0 10^ x -1 x equal to ? NDA 2026Consider the following for the two (02) items that follow: Let the function f(x) = x^2 +… NDA 2025For the following three (03) items: Consider the function f(x) = x|x| . What is _ x → -1… NDA 2025For the following two (02) items: Let f(x) = cases (1 - 2x)/(x^2), & x 0 cases What is _… NDA 2025For the following two (02) items: Let f(x) = cases (1 - 2x)/(x^2), & x 0 cases What is _… NDA 2025Consider the following for the two (02) items that follow: Let the function f(x) = [x]… NDA 2025Consider the following for the two (02) items that follow: Let the function f(x) = [x]… NDA 2025Consider the following for the two (02) items that follow: Let the function f(x) = x^2… NDA 2025What is ( θ- θ) equal to? x arrow (π)/(2) NDA 2024Which one of the following is correct regarding _ x arrow 3 (|x-3|)/(x-3) ? NDA 2024Let f(x)=|x|+1 and g(x)=[x]-1 , where [.] is the greatest integer function. Let… NDA 2024Let f(x) a^ x-1 b^ x-1 and g(x)=x-1 . What is _ x arrow 1 (f(x)-1)/(g(x)) equal to? NDA 2023Let f(x)=|x| and g(x)=[x]-1 , where [.] is the greatest integer function. Let… NDA 2023Let f(x) a^ x-1 b^ x-1 and g(x)=x-1 . What is _ x arrow 1 f(x)^ (1)/(g(x)) equal to? NDA 2023What is _ x arrow 1 (x^9-1)/(x^3-1) equal to? NDA 2023 Full Limits list Limits JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs