Question

Explanation Please: Let f(x) =*check comments*. Show that f(x) has a removable discontinuity at x=1 and determine what value for f(1) would make f(x) continuous at x=1.
Must define f(1)=

Answer 1

Factor the numerator
If one of the factors of the numerator cancels with the (x-1) in the denominator then it has a removable discontinuity at x=1.
To figure out what value to assign to f(1) we just need to make sure f(1)= limx->1 f(x)
So just evaluate that limit part to figure out what value to assign f(1)

Answer 2

Yeah, I figured it out. Thanks anyways.