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Mathematics - Limits

Practise 14 VITEEE previous year questions on Limits, compiled from papers spanning 2007 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 VITEEE tests.

Limits has been asked in 12 of the 18 years of VITEEE papers analysed (2006–2024), with 14 questions in all. 50% of them were easy, 43% moderate and 7% tough. Most of its questions came from 2024, with 2 questions that year. In the last three years (2022–2024) it had 4 questions across 3 papers, about 1.3 per paper.

The chapter's 5 topics are not weighted equally: Algebraic and Rational Limits (5 questions, 36%), Miscellaneous (3 questions, 21%), and Trigonometric and Inverse Trigonometric limits (3 questions, 21%) have been asked the most. Algebraic and Rational Limits has also led over the last five years, with 2 questions. Miscellaneous has produced the most tough questions (1).

  1. 1equal to2024Trigonometric and Inverse Trigonometric limits
  2. 2is equal to2024Algebraic and Rational Limits
  3. 3\( _{h 0} ( {1}{h [3]{8+h}}- {1}{2 h} )\) equals to2023Algebraic and Rational Limits
  4. 4If \( _{x 0} {((a-n) n x- x) n x}{x^2}=0\), where \(n\) is non-zero real number, then a is equal to2022Trigonometric and Inverse Trigonometric limits
  5. 5Evaluate .2019Algebraic and Rational Limits
  6. 6The value of is2018Trigonometric and Inverse Trigonometric limits
  7. 7Preview not available - open to view this question.2017Algebraic and Rational Limits
  8. 8is equal to2015Algebraic and Rational Limits
  9. 9If be such that and . Then, equals to2013Miscellaneous
  10. 10The value of is2012Miscellaneous
  11. 11Find the value of the2011Existance of Limit
  12. 12The values of constants and , so that are2011Miscellaneous
  13. 13equals2009Special Forms
  14. 14Let and , then the number of functions from A to B that are onto is2007Special Forms

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 14 questions compiled from VITEEE papers spanning 2007 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Limits has appeared in 12 of the 18 years of VITEEE papers covered here, with 14 questions across 12 papers - about one per paper it appears in.

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

Of the 14 questions analysed for this chapter, 50% are easy, 43% moderate and 7% tough. 2024 had the most, with 2 questions.

5.Which topics in Limits should I focus on?

These topics have carried the most weightage in Limits:

  • Algebraic and Rational Limits - 5 questions (36%)
  • Miscellaneous - 3 questions (21%)
  • Trigonometric and Inverse Trigonometric limits - 3 questions (21%)
  • Miscellaneous has produced the most tough questions (1).
6.Is Limits's weightage in VITEEE going up or down?

Across all 12 papers analysed, Limits has averaged about 1.2 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.