Abstract
A real-valued sequence 〈s n : n ∈ ℕ〉 is a function s: ℕ → ℝ, and so extends to a hypersequence s: *ℕ → *ℝ by the construction of Section 3.13. Hence the term s n becomes defined for unlimited hypernaturals n ∈ *ℕ∞ (a fact that was already used in Theorem 5.8.1), and in this case we say that s n is an extended term of the sequence.
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© 1998 Springer-Verlag Berlin Heidelberg
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Goldblatt, R. (1998). Convergence of Sequences and Series. In: Lectures on the Hyperreals. Graduate Texts in Mathematics, vol 188. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0615-6_6
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DOI: https://doi.org/10.1007/978-1-4612-0615-6_6
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