Limits of sequences Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/limits-of-sequences/quiz/

1. 1

   Find the limit of the sequence a_n = 5n^2.
   1. A) Converges
   2. B) Diverges

2. 2

   Find the limit of the sequence a_n = (12)^n.
   1. A) Converges
   2. B) Diverges

3. 3

   Find the limit of the sequence a_n = 7/n.
   1. A) Converges
   2. B) Diverges

4. 4

   Find the limit of the sequence a_n = n + 52n.
   1. A) Converges
   2. B) Diverges

5. 5

   Find the limit of the sequence a_n = 2n² − 1n² + 3.
   1. A) Converges
   2. B) Diverges

6. 6

   Find the limit of the sequence a_n = n/(n² + 4).
   1. A) Converges
   2. B) Diverges

7. 7

   Find the limit of the sequence a_n = (−1)^n.
   1. A) Converges
   2. B) Diverges

8. 8

   Find the limit of the sequence a_n = 5n² + n3 − 2n².
   1. A) Converges
   2. B) Diverges

9. 9

   Find the limit of the sequence a_n = (−1)ⁿ n/(n + 1).
   1. A) Converges
   2. B) Diverges

10. 10

    Find the limit of the sequence a_n = n³ − 2n4n³ + 1.
    1. A) Converges
    2. B) Diverges