Question

at which values of x is the function f(x)x^4-2x^3-3x^2/x^4-5x^3+6x^2 continuous and discontinuous? State the answers from the least to the highest value, if there would be more than one.

Answers: continuous at x=_____ discontinuous at x=______;x=_____;x=_____

Answer 1

function is discontinuous at x =0, 2 and 3

function is continuous at all x except where x = 0,2,3

because numerator is always continuous

but when we factorize the denominator it becomes x^2(x-2)(x-3). So the function becomes not defined at 0,2 and 3