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Mathematics - Limits

Practise 58 WBJEE previous year questions on Limits, compiled from papers spanning 2009 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 WBJEE tests.

Limits has been asked in 18 of the 18 years of WBJEE papers analysed (2009–2026), with 58 questions in all. 48% of them were easy, 34% moderate and 17% tough. Most of its questions came from 2019, with 6 questions that year. In the last three years (2024–2026) it had 7 questions across 3 papers, about 2.3 per paper.

The chapter's 6 topics are not weighted equally: Algebraic and Rational Limits (34 questions, 59%), Exponential and logarithmic limits (8 questions, 14%), and Trigonometric and Inverse Trigonometric limits (5 questions, 9%) have been asked the most. Algebraic and Rational Limits has also led over the last five years, with 8 questions. Algebraic and Rational Limits has produced the most tough questions (5).

  1. 1Consider a function which has exactly two roots at . If , then the value of is2026Algebraic and Rational Limits
  2. 2If and , then numerical value of the area of the triangle whose vertices are and is2026Algebraic and Rational Limits
  3. 3If is differentiable for all and satisfies the relation where denotes the greatest integer function, then2026Existance of Limit
  4. 4equals2025Algebraic and Rational Limits
  5. 5If are the roots of the equation then is2024Algebraic and Rational Limits
  6. 6Let be a differentiable function and . Then the value of , if is2024Algebraic and Rational Limits
  7. 7Preview not available - open to view this question.2024Exponential and logarithmic limits
  8. 8\( _{x } \{x- [n]{ (x-a_1 ) (x-a_2 ) (x-a_n )} \}\) where \(a_1, a_2, , a_n\) are positive rational numbers. The limit2023Algebraic and Rational Limits
  9. 9\(f(x)\) is a differentiable function and given \(f^{ }(2)=6\) and \(f^{ }(1)=4\), then \(L= _{h 0} {f (2+2 h+h^2 )-f(2)}{f (1+h-h^2 )-f(1)}2023Algebraic and Rational Limits
  10. 10is2022Exponential and logarithmic limits
  11. 11. Then2022Algebraic and Rational Limits
  12. 12Let to term. Then is2021Trigonometric and Inverse Trigonometric limits
  13. 13If , then limit2021Exponential and logarithmic limits
  14. 14The equals2021Special Forms
  15. 15is2021Algebraic and Rational Limits
  16. 16can have a real solution for2020Miscellaneous
  17. 17If , then is2020Exponential and logarithmic limits
  18. 18Let . Then is2020Exponential and logarithmic limits
  19. 19Preview not available - open to view this question.2020Algebraic and Rational Limits
  20. 20Let The smallest positive interger such that is2020Algebraic and Rational Limits
  21. 21Preview not available - open to view this question.2019Existance of Limit
  22. 22The value of is equal to2019Algebraic and Rational Limits
  23. 23The limit of the interior angle of a regular polygon of sides as is2019Algebraic and Rational Limits
  24. 24Preview not available - open to view this question.2019Special Forms
  25. 25Let and Then is2019Trigonometric and Inverse Trigonometric limits
  26. 26The value of is2019Algebraic and Rational Limits
  27. 27Let Then2018Algebraic and Rational Limits
  28. 28If then the value of is2017Algebraic and Rational Limits
  29. 29Let Then, Lagrange's mean value theorem is applicable to in closed interval2017Algebraic and Rational Limits
  30. 30is equal to2017Special Forms
  31. 31Let for all then2017Exponential and logarithmic limits
  32. 32is equal to2016Exponential and logarithmic limits
  33. 33The value of is2015Algebraic and Rational Limits
  34. 34Let Then, the value of is2015Algebraic and Rational Limits
  35. 35If then the values of and are, respectively2015Algebraic and Rational Limits
  36. 36Let be differentiable at . If f(0)=0 and f'(0)=2, then the value of2015Algebraic and Rational Limits
  37. 37If exists and is equal to 1 then the value of is2014Algebraic and Rational Limits
  38. 38The value of is2014Algebraic and Rational Limits
  39. 39Let be a differentiable function and Then, equals2014Algebraic and Rational Limits
  40. 40Let denote the greatest integer less than or equal to for any real number . Then, is equal to2014Algebraic and Rational Limits
  41. 41Let denotes the nth term of the infinite series Then is2014Algebraic and Rational Limits
  42. 42The limit of as2013Algebraic and Rational Limits
  43. 43The limit of as2013Algebraic and Rational Limits
  44. 44The limit of as2013Algebraic and Rational Limits
  45. 45The limit of as2013Algebraic and Rational Limits
  46. 46Preview not available - open to view this question.2012Algebraic and Rational Limits
  47. 47The value of is2012Algebraic and Rational Limits
  48. 48The value of \( _{n } _{r=1}^n {r^3}{r^4+n^4} { is }\)2011Miscellaneous
  49. 49The value of \( _{x 1} {x+x^2+ +x^n-n}{x-1}\) is2011Algebraic and Rational Limits
  50. 50\( _{x 0} { ( ^2 x )}{x^2}=\)2011Trigonometric and Inverse Trigonometric limits

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 58 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Limits has appeared in 18 of the 18 years of WBJEE papers covered here, with 58 questions across 18 papers - about 3 per paper it appears in.

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

Of the 58 questions analysed for this chapter, 48% are easy, 34% moderate and 17% tough. 2019 had the most, with 6 questions.

5.Which topics in Limits should I focus on?

These topics have carried the most weightage in Limits:

  • Algebraic and Rational Limits - 34 questions (59%)
  • Exponential and logarithmic limits - 8 questions (14%)
  • Trigonometric and Inverse Trigonometric limits - 5 questions (9%)
  • Algebraic and Rational Limits has produced the most tough questions (5).
6.Is Limits's weightage in WBJEE going up or down?

Across all 18 papers analysed, Limits has averaged about 3.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.