Question

discuss the continuity of this piecewise function:

f(x)={(x^2-5x)/(x^3-5x^2), x≠0
0, x=0

Answer 1

It's discontinuous.

Answer 2

i can graph it and everything
the only thing im not sure on is that there will be the graph of 1/x and a point on the origin
what kind of discontinuity is that?

Answer 3

i was thinking infinite but that point is throwing me off

Answer 4

i also understand all the removable discontinuities