Math Problem Statement
Find the limits as x approaches 1 from the left and right side for f(x) = (x^2 - 3, 0≤x<1), (-1, x=1), (3x - 5, 1<x)
Solution
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Math Problem Analysis
Mathematical Concepts
Limits
Piecewise Functions
Continuity
Formulas
Left-hand limit: lim_{x -> c^-} f(x)
Right-hand limit: lim_{x -> c^+} f(x)
Theorems
Limit Theorem
Continuity Criterion
Suitable Grade Level
Grades 10-12