131A Group Worksheet 4

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131A Group Worksheet 4

January 30, 2024

Problem 1. Find and prove that the limit of these sequences exists, or show that these sequences do not converge:

1. an “ cospπnq.

2. 

3.  (Hint rationalize the denominator.)

Problem 2. Prove that if a sequence converges, then it is Cauchy.