Math Problem Statement
The problem asks about the function f(x) defined as:
f(x) = { 9 - 2x, x ≠ 3; 5, x = 3 }
a. Graph f(x)
b. Find lim f(x) as x approaches 3 from both the left and right
c. Does lim f(x) exist as x approaches 3?
Solution
The problem asks about the function defined as:
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Math Problem Analysis
Mathematical Concepts
Limits
Piecewise Functions
Continuity
Formulas
lim f(x) as x -> 3 from the left
lim f(x) as x -> 3 from the right
Theorems
Limit Existence Theorem
Piecewise Function Behavior at a Point
Suitable Grade Level
Grades 10-12