



Consider the function g(x) = (x^2 - 5x + 6) / (x - 2). Identify the removable discontinuity and find its location.
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what is a removable discontinuity Informational
- How can piecewise functions be used to create or remove removable discontinuities?
- If a function is continuous on an open interval but has a removable discontinuity at one of its endpoints, can it be extended to be continuous on the closed interval?
- Give an example of a function with two distinct removable discontinuities.
- Can a solution to an integral equation have a removable discontinuity even if the kernel and the forcing function are continuous?
- How do removable discontinuities relate to the concept of singularities in physics or engineering models?
- Can a conformal mapping have removable singularities?
- What visual cues on a graph indicate a removable discontinuity?
- Are there any situations where the presence of a removable discontinuity is actually useful or has a specific meaning?
- Consider the function f(x) = (sin(x) - x) / x^3. Does it have a removable discontinuity at x = 0?
- Does "filling the hole" change the topological properties of the graph?
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