Question

Which function has removable discontinuity?



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

Answer 1

not the bottom 3 for sure

Answer 2

because for the bottom 3, the zero of the denominator is not also a zero of the numerator

Answer 3

\[ x^2-x-2 =(x+1)(x-2)
\]