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What precisely does it mean to say that: a. A sequence {sn​}1[infinity]​ converges to s ?

User Savrige
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Answer:

a. A sequence {sn​}1[infinity]​ converges to s means that the sequence {sn​}1[infinity]​ gets arbitrarily close to the value s as the index n increases without bound. In other words, the sequence converges to s as n approaches infinity.

To understand this concept, imagine a series of dots on a number line, each representing a term of the sequence. As n gets larger, the dots get closer and closer to each other, eventually forming a single point at s. This means that the sequence converges to s as n approaches infinity.

Explanation:

User Stephen Brickner
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