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Infinity (∞)

★★☆☆☆Middle School

📖Definition

∞ (infinity) represents the concept of unboundedness. Used in limits, integrals, and set theory.

lim_x → ∈fty f(x)

Limit as x approaches infinity

∈t₀^∈fty f(x) dx

Improper integral

∈fty + 1 = ∈fty, ∈fty · 2 = ∈fty

Infinity operations (caution needed)

예제 1

Find lim(x→∞) 1/x.

Discovered by: John Wallis (1655)

Wallis first used this symbol; Cantor distinguished types of infinity.

Limits, convergence

Cardinality of infinite sets

Asymptotic behavior

#무한#극한#infinity#unbounded