Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Limits
Continuity
Differentiability
Definition of Derivative

Formulas

lim x→b f(x) = f(b)
lim x→b [f(x) - f(b)] / (x - b)

Theorems

Continuity implies limit exists
Differentiability implies continuity
Limit definition of the derivative

Suitable Grade Level

College Calculus