Plain why the function is discontinuous at the given number a. (select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x = 2 a = 2

Answer with Step-by-step explanation:

We are given that

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

Right hand limit =RHL when x> 2

Substitute

x=2+h

LHL=RHL=

f(2)=1

Hence, function is discontinuous at x=2