- #1
Hertz
- 180
- 8
So consider a function ##f(x)## which is continuous for all ##x## except on some finite interval, say ##[a, b]##. Imagine, for example, a function which goes to ##-\infty## from the left at ##x=a##, is undefined from a to b, and then "comes from" infinity at ##x=b## and is defined and continuous everywhere else. Is this considered an infinite number of discontinuities, or a single discontinuity? My first thought is that it would be considered an infinite number of discontinuities, but I want to be sure