Math, asked by HamidHassan, 3 months ago

every cauchy sequence is convergent
is it true generally plz friends i am confused so much

Answers

Answered by riyazahemadansari197

1

Answer:

Yes it is true.

Step-by-step explanation:

This is the right solution.

Explanation in comment.

riyazahemadansari197: Every cauchy sequence of real numbers is bounded, hence by Bolzano - Weierstrass has a convergent subsequence, hence is itself convergent. This proof of the completeness of the real numbers implicitly makes use of the least upper bound axiom.

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