(a) Consider the following sequence of numbers defined recursively. Write the decimal approximations for the first six...

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(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

Prove that this sequence converges, and find its limit.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Mar 15, 2023 12:40 PM

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(a) Consider the following sequence of numbers defined recursively. Write the decimal approximations for the first six...

Question:

a₁ = 3 a2 √√√3 az = √3+√3 : an+1 = √3+ an

Step by Step Answer:

a b Use mathematical induction to ...View the full answer

Calculus

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