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Mathematics - Limits

Practise 27 KCET previous year questions on Limits, compiled from papers spanning 2007 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KCET tests.

Limits has been asked in 20 of the 20 years of KCET papers analysed (2007–2026), with 27 questions in all. 56% of them were easy, 30% moderate and 15% tough. Most of its questions came from 2024, with 3 questions that year. In the last three years (2024–2026) it had 6 questions across 3 papers, about 2 per paper.

The chapter's 4 topics are not weighted equally: Algebraic and Rational Limits (18 questions, 67%), Existance of Limit (6 questions, 22%), and Miscellaneous (2 questions, 7%) have been asked the most. Algebraic and Rational Limits has also led over the last five years, with 5 questions. Algebraic and Rational Limits has produced the most tough questions (2).

  1. 1If , then2026Existance of Limit
  2. 2If , then2026Existance of Limit
  3. 3is2025Algebraic and Rational Limits
  4. 4is equal to2024Algebraic and Rational Limits
  5. 5Let the function satisfy the equation for all , where . If and , then is2024Algebraic and Rational Limits
  6. 6Preview not available - open to view this question.2024Miscellaneous
  7. 7If , then the values of and respectively are2023Algebraic and Rational Limits
  8. 8Preview not available - open to view this question.2022Algebraic and Rational Limits
  9. 9Consider the following statements Statement 1 : is 1 (where ). Statement is .2021Algebraic and Rational Limits
  10. 10If , then is equal to2021Existance of Limit
  11. 11If the sum of terms of an AP is given by , then the common difference of the AP is2020Trigonometric and Inverse Trigonometric limits
  12. 12If are in , then the value of is2020Existance of Limit
  13. 13\( _{r=1}^{n}(2 r-1)=x \) then \( _{n } [ {1^{3}}{x^{2}}+ {2^{3}}{x^{2}}+ {3^{3}}{ ^{2}}+ + {n^{3}}{ ^{2}} ]= \)2019Miscellaneous
  14. 14The value of \( _{x 0} {[x]}{x} \) is2018Existance of Limit
  15. 15The value of \( C \) in Mean value theorem for the function \( f(x)=x^{2} \) in \( [2,4] \) is2017Algebraic and Rational Limits
  16. 16\( _{x 0} {x e^{x}- x}{x} \) is equal to2016Algebraic and Rational Limits
  17. 17Solve for \( x \) \[ ^{-1} ( {1-x}{1+x} )= {1}{2} ^{-1} x, x>0 \]2015Algebraic and Rational Limits
  18. 18In a class of \( 60 \) students, \( 25 \) students play cricket and \( 20 \) students play tennis, and \( 10 \) students play both the games2014Existance of Limit
  19. 19is equal to2013Algebraic and Rational Limits
  20. 20If , then is equal to2012Algebraic and Rational Limits
  21. 21is equal to2012Algebraic and Rational Limits
  22. 22is equal to2011Algebraic and Rational Limits
  23. 23is2010Algebraic and Rational Limits
  24. 24is equal to2009Algebraic and Rational Limits
  25. 25The function is not defined at . The value which should be assigned to at so that it is continuous at is2009Algebraic and Rational Limits
  26. 26is equal to2008Algebraic and Rational Limits
  27. 27is equal to2007Algebraic and Rational Limits

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 27 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Limits has appeared in 20 of the 20 years of KCET papers covered here, with 27 questions across 20 papers - about one per paper it appears in.

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

Of the 27 questions analysed for this chapter, 56% are easy, 30% moderate and 15% tough. 2024 had the most, with 3 questions.

5.Which topics in Limits should I focus on?

These topics have carried the most weightage in Limits:

  • Algebraic and Rational Limits - 18 questions (67%)
  • Existance of Limit - 6 questions (22%)
  • Miscellaneous - 2 questions (7%)
  • Algebraic and Rational Limits has produced the most tough questions (2).
6.Is Limits's weightage in KCET going up or down?

Across all 20 papers analysed, Limits has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has risen, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.