Question

lim x➝2 (8-x^3)/x^2-5x+6

Answer 1

factor the numerator and denominator in the expression then you can plug in the 2 for direct substitution to get your limit.

Answer 2

Lt (x->2) (8-x^3) / (x-3)(x-2)

(8-x^3) = (2^3 - 8^3)
(2-x)(x^2+2x + 4)
Lt x->2 ((2-x)(x^2+2x+4)) / (x-3)(x-2)
Lt x->2 - (x^2+2x+4) / (x-3)
- (2^2 + 2(2) +4) / (2-3)
(4 + 4 + 4) = 12
12 is the answer

Answer 3

thanx!