Math Problem Statement

limits

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Limits

Formulas

Limit of a function: lim_{x → c} f(x) = L
One-sided limits: lim_{x → c^-} f(x), lim_{x → c^+} f(x)
Infinite limits: lim_{x → c} f(x) = ∞ or lim_{x → c} f(x) = -∞
Limits at infinity: lim_{x → ∞} f(x) or lim_{x → -∞} f(x)

Theorems

L'Hopital's Rule
Direct Substitution
Factoring

Suitable Grade Level

High School to College