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Mathematics - Limits

Practise 40 Manipal (MET) previous year questions on Limits, compiled from papers spanning 2010 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 Manipal (MET) tests.

Limits has been asked in 15 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 40 questions in all. 20% of them were easy, 63% moderate and 18% tough. Most of its questions came from 2020, with 5 questions that year. In the last three years (2022–2024) it had 5 questions across 3 papers, about 1.7 per paper.

The chapter's 5 topics are not weighted equally: Algebraic and Rational Limits (21 questions, 53%), Trigonometric and Inverse Trigonometric limits (10 questions, 25%), and Miscellaneous (4 questions, 10%) have been asked the most. Algebraic and Rational Limits has also led over the last five years, with 7 questions. Algebraic and Rational Limits has produced the most tough questions (5).

  1. 1Let (where [.] is the largest integer). then, find the value of .2024Algebraic and Rational Limits
  2. 2If is a differentiable function and , then is equal to2023Miscellaneous
  3. 3The value of , then equals to2023Exponential and logarithmic limits
  4. 4The value of is2022Miscellaneous
  5. 5is equal to _____2022Algebraic and Rational Limits
  6. 6The value of is2021Algebraic and Rational Limits
  7. 7is2021Trigonometric and Inverse Trigonometric limits
  8. 8If where, denotes the greatest integer less than or equal to , then is equal to2020Existance of Limit
  9. 9Let be differentiable on the interval such that and for each Then, is equal to2020Algebraic and Rational Limits
  10. 10If , then2020Algebraic and Rational Limits
  11. 11is equal to2020Algebraic and Rational Limits
  12. 12is equal to2020Algebraic and Rational Limits
  13. 13If and , then , i2019Trigonometric and Inverse Trigonometric limits
  14. 14is equal to2019Trigonometric and Inverse Trigonometric limits
  15. 15Let and . Then, is equal to2018Algebraic and Rational Limits
  16. 16is equal to2018Trigonometric and Inverse Trigonometric limits
  17. 17If , then is equal to2018Algebraic and Rational Limits
  18. 18Preview not available - open to view this question.2017Algebraic and Rational Limits
  19. 19equal to2017Algebraic and Rational Limits
  20. 20is2017Existance of Limit
  21. 21is equal to2017Existance of Limit
  22. 22The value of is2016Algebraic and Rational Limits
  23. 23is equal to2016Algebraic and Rational Limits
  24. 24The value of is2016Trigonometric and Inverse Trigonometric limits
  25. 25is equal to2015Algebraic and Rational Limits
  26. 26The value of , is2015Miscellaneous
  27. 27If , then is given by2015Algebraic and Rational Limits
  28. 28is equal to2014Trigonometric and Inverse Trigonometric limits
  29. 29is equal to2014Trigonometric and Inverse Trigonometric limits
  30. 30The value of the , is2014Exponential and logarithmic limits
  31. 31is equal to2014Miscellaneous
  32. 32The value of is2013Algebraic and Rational Limits
  33. 33Preview not available - open to view this question.2013Algebraic and Rational Limits
  34. 34If where denotes the greatest integer less than or equal to , then equals2012Trigonometric and Inverse Trigonometric limits
  35. 35Let be such that and . Then, equals2012Algebraic and Rational Limits
  36. 36If , then2012Algebraic and Rational Limits
  37. 37The value of is2012Trigonometric and Inverse Trigonometric limits
  38. 38is equal to2011Algebraic and Rational Limits
  39. 39If , then2011Algebraic and Rational Limits
  40. 40is2010Trigonometric and Inverse Trigonometric limits

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 40 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Limits has appeared in 15 of the 15 years of Manipal (MET) papers covered here, with 40 questions across 15 papers - about 3 per paper it appears in.

4.What is the difficulty level of Limits questions in Manipal (MET)?

Of the 40 questions analysed for this chapter, 20% are easy, 63% moderate and 18% tough. 2020 had the most, with 5 questions.

5.Which topics in Limits should I focus on?

These topics have carried the most weightage in Limits:

  • Algebraic and Rational Limits - 21 questions (53%)
  • Trigonometric and Inverse Trigonometric limits - 10 questions (25%)
  • Miscellaneous - 4 questions (10%)
  • Algebraic and Rational Limits has produced the most tough questions (5).
6.Is Limits's weightage in Manipal (MET) going up or down?

Across all 15 papers analysed, Limits has averaged about 2.7 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.