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Mathematics - Limits

Practise 114 TS EAMCET previous year questions on Limits, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Limits has been asked in 23 of the 24 years of TS EAMCET papers analysed (2001–2024), with 114 questions in all. 46% of them were easy, 40% moderate and 14% tough. Most of its questions came from 2021, with 15 questions that year. In the last three years (2022–2024) it had 34 questions across 17 papers, about 2 per paper.

The chapter's 7 topics are not weighted equally: Algebraic and Rational Limits (38 questions, 33%), Trigonometric and Inverse Trigonometric limits (22 questions, 19%), and Existance of Limit (21 questions, 18%) have been asked the most. Algebraic and Rational Limits has also led over the last five years, with 20 questions. Miscellaneous has produced the most tough questions (6).

  1. 1If then04 May, 2025 (M)Algebraic and Rational Limits
  2. 2Preview not available - open to view this question.04 May, 2025 (E)Algebraic and Rational Limits
  3. 3Preview not available - open to view this question.04 May, 2025 (E)Miscellaneous
  4. 4If where is the greatest integer and , then03 May, 2025 (M)Existance of Limit
  5. 5For and , if the real valued function is continuous at , then03 May, 2025 (M)Algebraic and Rational Limits
  6. 6If represents the greatest integer then the value of is03 May, 2025 (E)Limits
  7. 7If is the greatest integer function then02 May, 2025 (M)Existance of Limit
  8. 8Let ' ' be a positive real number. If a real valued function is continuous at , then02 May, 2025 (M)Existance of Limit
  9. 9If and , then02 May, 2025 (E)Algebraic and Rational Limits
  10. 10If is continuous at , then02 May, 2025 (E)Existance of Limit
  11. 11Preview not available - open to view this question.11 May, 2024 (M)Existance of Limit
  12. 12If , then10 May, 2024 (M)Algebraic and Rational Limits
  13. 13If , then10 May, 2024 (E)Existance of Limit
  14. 14If , then10 May, 2024 (E)Algebraic and Rational Limits
  15. 15Preview not available - open to view this question.09 May, 2024 (M)Miscellaneous
  16. 16Preview not available - open to view this question.09 May, 2024 (M)Exponential and logarithmic limits
  17. 17Preview not available - open to view this question.09 May, 2024 (E)Algebraic and Rational Limits
  18. 18Preview not available - open to view this question.14 May, 2023 (M)Miscellaneous
  19. 19The quadratic equation whose roots are and is14 May, 2023 (M)Trigonometric and Inverse Trigonometric limits
  20. 20Preview not available - open to view this question.14 May, 2023 (E)Trigonometric and Inverse Trigonometric limits
  21. 21If a function is defined by , then14 May, 2023 (E)Trigonometric and Inverse Trigonometric limits
  22. 22Preview not available - open to view this question.14 May, 2023 (E)Miscellaneous
  23. 23Preview not available - open to view this question.13 May, 2023 (M)Existance of Limit
  24. 24Preview not available - open to view this question.13 May, 2023 (M)Existance of Limit
  25. 25Preview not available - open to view this question.13 May, 2023 (E)Algebraic and Rational Limits
  26. 26Preview not available - open to view this question.13 May, 2023 (E)Trigonometric and Inverse Trigonometric limits
  27. 27Preview not available - open to view this question.12 May, 2023 (M)Algebraic and Rational Limits
  28. 28If and are non-zero real numbers and , then12 May, 2023 (M)Exponential and logarithmic limits
  29. 29Preview not available - open to view this question.12 May, 2023 (E)Trigonometric and Inverse Trigonometric limits
  30. 30If and , then12 May, 2023 (E)Algebraic and Rational Limits
  31. 31Let denote the greatest integer less than or equal to and . If and then20 Jul, 2022 (M)Existance of Limit
  32. 32Preview not available - open to view this question.20 Jul, 2022 (M)Algebraic and Rational Limits
  33. 33Let be a differentiable function such that and . For , if then20 Jul, 2022 (M)Algebraic and Rational Limits
  34. 34Preview not available - open to view this question.20 Jul, 2022 (E)Algebraic and Rational Limits
  35. 35Preview not available - open to view this question.20 Jul, 2022 (E)Trigonometric and Inverse Trigonometric limits
  36. 36Preview not available - open to view this question.19 Jul, 2022 (M)Algebraic and Rational Limits
  37. 37Preview not available - open to view this question.19 Jul, 2022 (M)Exponential and logarithmic limits
  38. 38If , then19 Jul, 2022 (E)Exponential and logarithmic limits
  39. 39Preview not available - open to view this question.19 Jul, 2022 (E)Existance of Limit
  40. 40Preview not available - open to view this question.19 Jul, 2022 (E)Existance of Limit
  41. 41lim x 3 - x 3 - 3 x 2 - 4 x + 12 2 x 3 - 7 x 2 + 2 x + 3 =18 Jul, 2022 (M)Algebraic and Rational Limits
  42. 42lim x 0 2 2 x - 2 x + 1 + 2 - cos 2 x x 2 =18 Jul, 2022 (M)Algebraic and Rational Limits
  43. 43If f x = x 2 - 16 x - 4 if x 4 2 x if x 4 then f 4 - + f 4 + =18 Jul, 2022 (M)Existance of Limit
  44. 44lim x x 3 x 2 + x 4 + 1 - 2 x =18 Jul, 2022 (E)Algebraic and Rational Limits
  45. 45is equal to06 Aug, 2021 (M)Trigonometric and Inverse Trigonometric limits
  46. 46is equal to06 Aug, 2021 (M)Trigonometric and Inverse Trigonometric limits
  47. 47If and are roots of the equation, , then is equal to06 Aug, 2021 (E)Trigonometric and Inverse Trigonometric limits
  48. 48If f x = sin [ x ] [ x ] , [ x ] 0 0 , [ x ] = 0 , where x denotes the greatest integer less than or equal to x , then lim x 0 - f x05 Aug, 2021 (M)Trigonometric and Inverse Trigonometric limits
  49. 49lim x - 3 | x | 3 - x 2 + 2 | x | - 5 - 5 | x | 3 + 3 x 2 - 2 | x | + 7 =05 Aug, 2021 (M)Algebraic and Rational Limits
  50. 50If f x = x 2 sin 1 x , when x 0 and f 0 = 0 , then lim x 0 f ' x05 Aug, 2021 (M)Existance of Limit

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 114 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Limits has appeared in 24 of the 25 years of TS EAMCET papers covered here, with 114 questions across 63 papers - about 2 per paper it appears in.

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

Of the 114 questions analysed for this chapter, 46% are easy, 40% moderate and 14% tough. 2021 had the most, with 15 questions.

5.Which topics in Limits should I focus on?

These topics have carried the most weightage in Limits:

  • Algebraic and Rational Limits - 38 questions (33%)
  • Trigonometric and Inverse Trigonometric limits - 22 questions (19%)
  • Existance of Limit - 21 questions (18%)
  • Miscellaneous has produced the most tough questions (6).
6.Is Limits's weightage in TS EAMCET going up or down?

Across all 63 papers analysed, Limits has averaged about 1.8 questions per paper. In the last three years (2022–2024), that average has stayed about the same, 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.