Converges, and If So Find Its Limit

question 36

Multiple Choice

converges, and if so find its limit. Use the following fact: if , then .
Ans: is increasing with upper bound, hence converging.
-Let be defined recursively by , Which of the following statements holds?

• A) is decreasing and converging to
• B) is decreasing to
• C) is increasing and converging to
• D) is decreasing and converging to
• E) is increasing to

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