Question

With explanation please

Answer 1

D

Explanation:

as x → 2 , the denominator is x - 2 = 2 - 2 = 0

this makes f(x) undefined

to overcome this , factor the numerator , that is

f(x) =
`(x^2+x-6)/(x-2)` =
`((x+3)(x-2))/(x-2)` ( cancel x - 2 on numerator/ denominator )

f(x) = x + 3

then as x → 2

f(2) → 2 + 3 → 5