I AM 100% sure that this function is not continuous .....come on even by watching question we can tell it
1.(x^2-1)/(x-1) here the value of x can't be equal to 1 so that denominator never become zero and function not become unefined
2. so that's why here 1 can't be part of its domain the 1 must be omitted from the DOMAIN and by intentionally they were asking at x=1 so they fixing a trap here they think we are dumb and actually we are dumb that we can'tt see it
OPTION : D is true only
alert: dont check on desmos without putting the value of x subscript there
even if you guys check the f(a) where a=1 we got infinity value and we know that function is not defined at x=1 so how this function can be continuous