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Mathematics - Limits

Practise 24 BITSAT previous year questions on Limits, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Limits has been asked in 15 of the 16 years of BITSAT papers analysed (2009–2024), with 24 questions in all. 58% of them were easy, 21% moderate and 21% tough. Most of its questions came from 2021, with 3 questions that year. In the last three years (2022–2024) it had 6 questions across 5 papers, about 1.2 per paper.

The chapter's 6 topics are not weighted equally: Existance of Limit (7 questions, 29%), Trigonometric and Inverse Trigonometric limits (7 questions, 29%), and Algebraic and Rational Limits (6 questions, 25%) have been asked the most. Over the last five years the most frequent topics have been Algebraic and Rational Limits (3), Trigonometric and Inverse Trigonometric limits (3), and Existance of Limit (2). Existance of Limit has produced the most tough questions (3).

  1. 1Let then2024 (Memory Based Paper 1)Trigonometric and Inverse Trigonometric limits
  2. 2Given a real valued function ' ' such that then2024 (Memory Based Paper 2)Trigonometric and Inverse Trigonometric limits
  3. 3is equal to2023 (Memory Based Paper 1)Existance of Limit
  4. 4If , then the quadratic equation whose roots are and is2023 (Memory Based Paper 2)Existance of Limit
  5. 5The value of is2022Trigonometric and Inverse Trigonometric limits
  6. 6The value of is2022Special Forms
  7. 7Value of is2021Algebraic and Rational Limits
  8. 8is equal to2021Algebraic and Rational Limits
  9. 9is equal to2021Algebraic and Rational Limits
  10. 10The value of lim x 3 4 4 sin 2 x cos x - cos x + sin x sin x + cos x is2019Trigonometric and Inverse Trigonometric limits
  11. 11The value of a , so that lim x 0 1 x 2 e a x - e x - x = 3 2 , is2018Existance of Limit
  12. 12lim n sin n 2 + 1 is equal to2017Existance of Limit
  13. 13If lim n a n - 1 + n 2 1 + n = b , where a is finite number, then2017Existance of Limit
  14. 14where is equal to2016Algebraic and Rational Limits
  15. 15Preview not available - open to view this question.2015Exponential and logarithmic limits
  16. 16If and , then which one of the following is correct?2015Trigonometric and Inverse Trigonometric limits
  17. 17is equal to :2014Special Forms
  18. 18and let be such that . Then is2013Algebraic and Rational Limits
  19. 19If is continuous at , then the value of 'a' will be2013Algebraic and Rational Limits
  20. 20Preview not available - open to view this question.2012Trigonometric and Inverse Trigonometric limits
  21. 21Evaluate \( _{x } { {1+ 3 x}-1}{ (1+ 2 x)}\);2011Trigonometric and Inverse Trigonometric limits
  22. 22Find the equation of chord of the circle \(x^2+y^2=8 x\) bisected at the point \((4,3)\)2010Existance of Limit
  23. 23The minimum value of \( {x^4+y^4+z^2}{x y z}\) for positive real number \(x, y, z\) is2010Miscellaneous
  24. 24Two tangents \(P Q\) and \(P R\) drawn to the circle \(x^2+y^2-2 x-4 y-20=0\) from point \(P(16,7)\). Ifthe centre of the circle is \(C\) th2009Existance of Limit

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 24 questions compiled from BITSAT papers spanning 2009 to 2024.

2.Are these questions only from BITSAT, or from other exams too?

These are BITSAT questions specifically for the Limits chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Limits an important chapter for BITSAT Mathematics?

Limits has appeared in 15 of the 16 years of BITSAT papers covered here, with 24 questions across 17 papers - about one per paper it appears in.

4.What is the difficulty level of Limits questions in BITSAT?

Of the 24 questions analysed for this chapter, 58% are easy, 21% moderate and 21% tough. 2021 had the most, with 3 questions.

5.Which topics in Limits should I focus on?

These topics have carried the most weightage in Limits:

  • Existance of Limit - 7 questions (29%)
  • Trigonometric and Inverse Trigonometric limits - 7 questions (29%)
  • Algebraic and Rational Limits - 6 questions (25%)
  • Existance of Limit has produced the most tough questions (3).
6.Is Limits's weightage in BITSAT going up or down?

Across all 17 papers analysed, Limits has averaged about 1.4 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.