



If a function has a removable discontinuity, can its tangent line be defined at that point after the discontinuity is removed?
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what is a removable discontinuity Informational
- If lim (x->a) f(x) exists but f(a) is undefined, what type of discontinuity is it?
- How do removable discontinuities affect the calculation of arc length for a curve defined by a function?
- Can a physical theory with non-removable discontinuities be "fixed" by introducing removable ones?
- What is the role of removable discontinuities in the historical development of calculus and analysis?
- Explain why a removable discontinuity is sometimes referred to as a "hole" in the graph.
- Is the derivative of a function with a removable discontinuity necessarily discontinuous at that point?
- How do numerical methods handle removable discontinuities?
- Are removable discontinuities considered singularities? If so, what type?
- What are some common algebraic expressions that often lead to removable discontinuities?
- Consider the sinc function, sinc(x) = sin(x) / x. How is its value at x = 0 defined to make it continuous?
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