Chapter 1 - Sequences

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Last updated 4:37 PM on 8/27/26
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4 Terms

1
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sequence

a function whose domain is J

2
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Let E > 0, x in R. Then the E-ball about x is the set

B_E(x) = {y | |x-y| < E}

3
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The sequence {a_n}n in J is said to converge to the value of L in R if and only if

given E > 0, there exists N in J such that for all n >= N, |a_n - L| < E.

4
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no

no