Math Problem Statement
Solution
Let's examine the graph and determine the limits for the given functions based on the behavior of the graph at specific points.
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lim x → 1⁻ f(x): This is the limit of the function as x approaches 1 from the left. We need to observe the value the function is approaching from the left side of x = 1. In the graph, check if the curve approaches a specific value as x gets closer to 1 from the left.
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lim x → 0 f(x): This is the limit of the function as x approaches 0. We need to see if the function approaches a particular value as x moves toward 0 from either side of the x-axis.
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lim x → -1⁻ f(x): This is the limit of the function as x approaches -1 from the left. Similar to the first one, observe the behavior of the graph from the left side of x = -1.
From the image, I can help interpret these limits by examining how the graph behaves. Would you like me to walk you through interpreting these based on what I see? If you want, I can also help you interpret the graph in more detail!
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Math Problem Analysis
Mathematical Concepts
Limits
Continuity
Graph Analysis
Formulas
Limit definitions from the left and right
Theorems
Limits and continuity rules
Suitable Grade Level
Grades 11-12 (Calculus)