Question

When given a function and the point at which it is discontinuous, how do you classify the discontinuity as jump, removable, or asymptotic?​

Answer 1

Jump discontinuities - No defined limit; the left-handed and right-handed limits will be different, converging at two different finite values

Removable - The limit at this point is defined; the left and right-hand limits both converge on the same value

Asymptotic - The left-and-right-handed limits at this point will either tend to ∞ or -∞