Math Problem Statement

Выберите правильные утверждения о последовательностях и их свойствах.

Solution

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Math Problem Analysis

Mathematical Concepts

Limits of Sequences
Monotonic Sequences
Infinitesimals
Bounded Sequences
Subsequences
Limsup and Liminf

Formulas

lim_{n→∞} (b_n - a_n) = 0
lim_{n→∞} a_n = lim_{n→∞} b_n
b_n = α_n · β_n
b_n = 1 / α_n

Theorems

Squeeze Theorem for Sequences
Boundedness of Sequences
Definition of Infinitesimal Sequences
Limits and Subsequences Theorem

Suitable Grade Level

University-level Mathematics