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Converges, and If So Find Its Limit

Question 36

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


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