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20 questions and an answer page, sized for A4.

Limits

Year 12 · Calculus · 20 questions

Name
Date
  1. 1.
    Find lim (x→∞) of (7x + 1) ÷ (9x + 5)
  2. 2.
    Find lim (x→-2) of (2x² − 6)
  3. 3.
    Find lim (x→4) of (2x² + 3)
  4. 4.
    Find lim (x→1) of (x² − 6x + 5) ÷ (x − 1)
  5. 5.
    Find lim (x→3) of (3x² + 4)
  6. 6.
    Find lim (x→5) of (x² − 6x + 5) ÷ (x − 5)
  7. 7.
    Find lim (x→1) of (x² − 5)
  8. 8.
    Find lim (x→1) of (2x² − 5)
  9. 9.
    Find lim (x→1) of (x² − 3x + 2) ÷ (x − 1)
  10. 10.
    Find lim (x→4) of (x² + 3)
  11. 11.
    Find lim (x→∞) of (9x + 1) ÷ (x + 5)
  12. 12.
    Find lim (x→6) of (x² − 2x − 24) ÷ (x − 6)
  13. 13.
    Find lim (x→2) of (x² − 5x + 6) ÷ (x − 2)
  14. 14.
    Find lim (x→6) of (x² − 4x − 12) ÷ (x − 6)
  15. 15.
    Find lim (x→6) of (x² − 8x + 12) ÷ (x − 6)
  16. 16.
    Find lim (x→3) of (x² − 3x + 0) ÷ (x − 3)
  17. 17.
    Find lim (x→∞) of (5x + 1) ÷ (2x + 5)
  18. 18.
    Find lim (x→1) of (x² + 5x − 6) ÷ (x − 1)
  19. 19.
    Find lim (x→∞) of (2x + 1) ÷ (6x + 5)
  20. 20.
    Find lim (x→5) of (x² − 11x + 30) ÷ (x − 5)

Free maths worksheets and practice: rocketdigits.com/learn/limits

Answers: Limits

  1. 79
  2. 2
  3. 35
  4. -4
  5. 31
  6. 4
  7. -4
  8. -3
  9. -1
  10. 19
  11. 9
  12. 10
  13. -1
  14. 8
  15. 4
  16. 3
  17. 52
  18. 7
  19. 13
  20. -1

Free maths worksheets and practice: rocketdigits.com/learn/limits

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