I don't know what "infinite discontinuity" is, but $\,x=0\,$ is a discontinuity point of the second, and strongest, kind: the one sided limits of the function there don't even exist in the generalized form:

An infinite discontinuity occurs whenever a one-sided limit is $\pm \infty$. Thus, an infinite discontinuity is a type of essential discontinuity. More specifically: If both the right- and the left …

Jan 14, 2020 · Also note that it is not the type of discontinuity, but the number/amount of discontinuities which matters in deciding Riemann integrability of a function. In particular one …

Nov 6, 2021 · I am aware of the three different types of discontinuities: Removable Discontinuity: where the limits of both sides exist and are equal but does not equal the value at that point …

Feb 25, 2019 · What are the types of its discontinuity points? My work : I know that the only continuity points are the real solutions of the equation x2 + 2 = 1 x 2 + 2 = 1. As this equation …

Point/removable discontinuity, infinite discontinuity and jump discontinuity. I know definitely that the graph above does not have a point discontinuity. However, I'm unsure of whether the …

The difference between a "removable discontinuity" and a "vertical asymptote" is that we have a R. discontinuity if the term that makes the denominator of a rational function equal zero for x = a

4 In complete agreement with the other answerers, I would like to say that @pcnThird’s question reflects a misconception that is fostered by many Calculus texts, which give often misleading …

Feb 22, 2022 · I know that there will be a discontinuity at x=1 as it would make it undefined, but I'm not sure how to determine the type of discontinuity outside of graphing it.

0 Just because there is a jump discontinuity does not mean the function does not have an indefinite integral. Just take the integral of the respective functions with exclusion of the value …