Question

Which function has a removable discontinuity?

a. g(x)=(2x-1)/(x)
b. p(x)=(x+2)/(x²-x-2)
c. f(x)=(5x)/(x-x²)
d. h(x)=(x²-x+2)/(x+1) ...?

Answer 1

"f(x)=(5x)/(x-x²)" is the one function among the following choices given in the question that has a removable discontinuity. The correct option among all the options that are given in the question is the third option or option "C". It is the only function having a term cancelling out each other at the top and the bottom.