Math Problem Statement
Выберите все бесконечно большие функции при заданном стремлении аргумента.
Solution
The task here is to identify functions
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Math Problem Analysis
Mathematical Concepts
Limits
Asymptotic Behavior
Infinity
Formulas
f(x) = ln(x) as x -> 0+
f(x) = sin(1/x) as x -> +∞
f(x) = 1/x^2 as x -> 0−
f(x) = ln(x) as x -> +∞
f(x) = sin(x) as x -> +∞
f(x) = ln(x) as x -> 0−
Theorems
Limit properties
Asymptotic comparison of functions
Suitable Grade Level
Undergraduate