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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?


Definitions:

Perceive Distinctions

The process of recognizing or identifying differences or variations between things or concepts.

Category

A class or division of people or things regarded as having particular shared characteristics.

Stereotype

A common and simplistic representation or belief about a specific kind of person or object that is firmly maintained.

Perceptions

The way in which something is regarded, understood, or interpreted by individuals based on their own feelings, thoughts, or awareness.

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