Question

`\lim_(x \to 2) (x^(2) + 5x - 14)/(x^2 - 5x + 6) \\ = ...`

Answer 1

After factorizing, can be rewritten as


`((x+7)(x-2))/((x-2)(x-3))`

which simlifies to


`(x+7)/(x-3) = (9)/(-1) = -9`