O (D) All these statements are true.6. Which one of the following statements is true for the convergent sequence (a_)?(A) Every convergent sequence (a ) is a Cauchy sequence.(B) Every Cauchy sequence (a) is convergent sequence.O (C) Both (A) and (B) are true.O (D) None of these statements is true.1 inition of the limit superior and limit inferior

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Description: O (D) All these statements are true.6. Which one of the following statements is true for the convergent sequence (a_)?(A) Every convergent sequence (a ) is a Cauchy sequence.(B) Every Cauchy sequence (a) is convergent sequence.O (C) Both (A) and (B)

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O (D) All these statements are true. 6. Which one of the following statements is true for the convergent sequence (a )? G(A) Every convergent sequence (a ) is a Cauchy sequence. O (B) Every Cauchy sequence (a_) is convergent sequence. O (C) Both (A) and (B) are true. 0o of these statements is true. d limi

O (D) All these statements are true. 6. Which one of the following statements is true for the convergent sequence (a )? G(A) Every convergent sequence (a ) is a Cauchy sequence. O (B) Every Cauchy sequence (a_) is convergent sequence. O (C) Both (A) and (B) are true. 0o of these statements is true. d limi

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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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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O (D) All these statements are true.
6. Which one of the following statements is true for the convergent sequence (a_)?
(A) Every convergent sequence (a ) is a Cauchy sequence.
(B) Every Cauchy sequence (a) is convergent sequence.
O (C) Both (A) and (B) are true.
O (D) None of these statements is true.
1 inition of the limit superior and limit inferior

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