Question

What is removable discontinuity in a rational function?

Answer 1

when the limit exists (i.e both right hand and left hand limit are equal) and the value of the function at the test point is not equal to its limit value at the test point

Answer 2

what would that look like in a simple equation?

Answer 3

for example
\[ \large \lim_{x\to-2}\frac{x^2-4}{x+2}=-4 \]
but the function is not defined for x=-2. so it has a removable discontinuity at x=-2.