Math Problem Statement
name the disconiutny at x=2
Solution
The graph shows a discontinuity at with an open circle, indicating a removable discontinuity. A removable discontinuity occurs when the function is not defined at a specific point (as shown by the open circle) but can be made continuous by redefining the function's value at that point.
Let me know if you'd like to dive deeper into discontinuities or have other questions.
Here are 5 related questions to explore:
- What are the other types of discontinuities besides removable?
- How can a removable discontinuity be "fixed" mathematically?
- What are the implications of removable discontinuities in calculus, especially for limits?
- How can you determine if a function is continuous from a graph?
- What role do discontinuities play in real-world applications of mathematics?
Tip: Always check limits from both sides to confirm the type of discontinuity!
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Math Problem Analysis
Mathematical Concepts
Removable Discontinuity
Continuity
Limits
Formulas
Limit as x approaches c from the left and right
Theorems
Definition of Removable Discontinuity
Suitable Grade Level
Grades 11-12
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