1.3... (2n – 1)4. Prove the sequence anhas a limit.2.4... 2n

Name: 1.3... (2n – 1)4. Prove the sequence anhas a limit.2.4... 2n
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Description: 1.3... (2n – 1)4. Prove the sequence anhas a limit.2.4... 2n

Note the results : Theorem 1: A monotonic increasing sequence which is bounded by above is…

Answered: 1.3. . (2n – 1) 2.4... 2n ... Prove the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1.3... (2n – 1)
4. Prove the sequence an
has a limit.
2.4... 2n

Expert Solution

Step 1

Note the results :

Theorem 1: A monotonic increasing sequence which is bounded by above is convergent .It is converges to the least upper bound .
Theorem 2: A monotonic decreasing sequence which is bounded by below is convergent .It is converges to the greatest lower bound .
If any sequence is convergent then it has a unique limit .

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