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Mathematics - Limits

Practise 12 KVPY previous year questions on Limits, compiled from papers spanning 2011 to 2020. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KVPY tests.

  1. 1Consider the following statements I. lim n 2 n + ( - 2 ) n 2 n does not exist II. lim n 3 n + ( - 3 ) n 4 n does not exist Then2020 (SB/SX)
  2. 2Define a sequence s n of real numbers by S n = k = 0 n 1 n 2 + k for n 1 Then lim n s n2020 (SB/SX)
  3. 3Suppose the limit L = lim n n 0 1 1 1 + x 2 n d x exists and is larger than 1 2 . Then,2018 (SB/SX)
  4. 4Let , for all real . Then is equal to19 Nov, 2017 (SB/SX)
  5. 5Let be the smallest positive integer such that Which one of the following statements is true?19 Nov, 2017 (SB/SX)
  6. 6The value of the limit is05 Nov, 2017 (SB/SX)
  7. 7Let for all natural numbers . Then05 Nov, 2017 (SB/SX)
  8. 8Limit dt equals2016 (SB/SX)
  9. 9The value of the limit is2015 (SB/SX)
  10. 10Let be a real number. Then the limit is2015 (SB/SX)
  11. 11Let be a function such that . Then which of the following is false?2013 (SB/SX)
  12. 12The value of is -2011 (SB/SX)

Frequently Asked Questions

1.How many questions are available for Limits?

This chapter includes 12 questions compiled from KVPY papers spanning 2011 to 2020.

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

These are KVPY 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 KVPY Mathematics?

Limits has appeared in 7 of the 11 years of KVPY papers covered here, with 12 questions across 8 papers - about 2 per paper it appears in.