PROPOSITION 3.2. A sequence (an) converges to a if and only if every subsequence of (an) also converges t a.


PROPOSITION 3.2. A sequence (an) converges to a if and only if every subsequence of (an) also<br>converges t a.<br>

Extracted text: PROPOSITION 3.2. A sequence (an) converges to a if and only if every subsequence of (an) also converges t a.
Prove the

Extracted text: Prove the "backwards implication" of Proposition 3.2: that if every subsequence of (an) con- verges to a, then (an) converges to a.

Jun 04, 2022
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