Hitunglah nilai limit dari fungsi berikut! [tex] \lim_{x \to \ 1 } \frac{ x^{3} -1}{x-1} =[/tex]

Bab Limit

Turunkan dulu x³ - 1 dan x - 1
u = x³ - 1
u' = 3.x³-¹ - 0.1.x⁰-¹
u' = 3x²

v = x - 1
v' = 1

Jadi
[tex] \lim_{x \to \1} \frac{3x^{2} }{1} [/tex]
= [tex] \lim_{x \to \1} 3(1)^{2} }[/tex]
= 3