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Section 22.2 Proving limit laws
Objectives
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Show that convergent sequences have unique limits and must be bounded.
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Prove algebraic and order limit laws using the
\(\varepsilon\)-
\(N\) definition.
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Apply the Squeeze Theorem to establish limits of sequences.
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Convergent sequences must be bounded.
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Sequence limits respect addition, subtraction, scalar multiplication, multiplication, nonzero division, and inequalities.
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