# Classifying Topics of Discontinuity (removable vs. non-removable)

In the realm of mathematical analysis, the classification of discontinuities plays a pivotal role in understanding the behavior of functions. Specifically, this investigation delves into the categorization of discontinuities, distinguishing between removable and non-removable instances. By scrutinizing the characteristics and implications of these distinct types, we aim to unravel the nuances that govern the nature of disruptions in a function's continuity. This exploration is fundamental for mathematicians and researchers seeking a precise comprehension of discontinuity patterns within the broader context of mathematical functions.

Questions

- What is a jump discontinuity of a graph?
- Does the function # f(x) = x/(|x|-3)# have any discontinuities?
- What is the discontinuity of the function #f(x) = |x-5|/(x-5)# ?
- What does it mean when it says: "non-removable discontinuity at x=4"?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(x^4+4x^2+2x)/(x^2-2x)#?
- How can you remove a discontinuity?
- How do you locate the discontinuities of the function #y = ln(tan(x)2)#?
- How do you find the x values at which #f(x)=x/(x^2-1)# is not continuous, which of the discontinuities are removable?
- What is jump discontinuity in math?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(x^2+4x+2)/(x^2-2x)#?
- What are the removable and non-removable discontinuities, if any, of #f(x)=x^2/absx#?
- What are the points of discontinuity of #y =(x + 3)/((x - 4)(x + 3)#?
- What are the removable and non-removable discontinuities, if any, of #f(x)=(x^3 - x^2 - 72 x)/ (x - 9) #?
- If a function has a removable discontinuity, is it still differentiable at that point? What about integrable?
- Does tan(x) have points of discontinuity?
- What is the discontinuity of the function #f(x)=(3x^2+x-4)/(x-1)#?
- What is the difference between a jump and a removable discontinuity?
- What are the removable and non-removable discontinuities, if any, of #f(x)=abs(x-9)/ (x-9)#?
- How do you find jump discontinuity?
- What is a removable Discontinuity?