limit x mendekati 3 untuk x^2+3x-18/x^2-3x

[tex] \lim_{x \to 3} \frac{x^{2} + 3x -18}{ x^{2} -3x} [/tex]

⇒ [tex] \lim_{x \to 3} \frac{(x+6)(x-3)}{x(x-3)} [/tex]

⇒ [tex] \lim_{x \to 3} \frac{x + 6}{x} [/tex]

⇒ [tex] \frac{3+6}{3} [/tex]

⇒ 3

Lim x → 3      (x² + 3x - 18) / (x² - 3x)
= Lim x → 3   (x + 6)(x - 3) / x(x - 3) ------------->> (coret " x - 3")
= Lim x → 3   (x + 6) / x -------------->> (masukkan "x → 3")
= (3 + 6) / 3
= 9/3
= 3