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