Proof (a) Consider the following sequence of numbers

Chapter 9, Problem 10

(choose chapter or problem)

Proof (a) Consider the following sequence of numbers defined recursively. Write the decimal approximations for the first six terms of this sequence. Prove that the sequence converges, and find its limit. (b) Consider the following sequence defined recursively by and where . . . Prove that this sequence converges, and find its limit.

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