nilai lim x --> 1 pada {∛(x^2 ) - 2∛(x) + 1} / (x-1)^2 = ... a. 0 b. 1/9 c. 1/3 d. 1/2 e. 1

Question

Matematika Diposting : 2017-05-18 Diupdate : 2023-11-26 fazapiei

Pertanyaan

nilai lim x --> 1 pada {∛(x^2 ) - 2∛(x) + 1} / (x-1)^2 = ...
a. 0
b. 1/9
c. 1/3
d. 1/2
e. 1

Answer 1

(x-1)²= x²-2x+1

jadi,
= x²-2x+1/(x-1)²
= 1

Answer 2

Lim (x^2 - 2x + 1)/(x - 1)^2
= Lim (x^2 - 2x + 1)/(x^2 - 2x + 1)
= Lim 1
= 1