Tolong bantuin dongg.... pleaseee
Buat besookkk....
Hitunglah hasil dari![\lim_{x \to 1\frac{1-2 \sqrt[3]{x}+ \sqrt[3 ]{ x^{2} } }{ (x-1) {2} } }](https://tex.z-dn.net/?f=+%5Clim_%7Bx+%5Cto+1%5Cfrac%7B1-2+%5Csqrt%5B3%5D%7Bx%7D%2B+%5Csqrt%5B3+%5D%7B+x%5E%7B2%7D+%7D+%7D%7B+%28x-1%29+%7B2%7D+%7D+%7D "\lim_{x \to 1\frac{1-2 \sqrt[3]{x}+ \sqrt[3 ]{ x^{2} } }{ (x-1) {2} } }")
Buat besookkk....
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= Lim (1 - x^(1/3))^2 / (x - 1)^2
= {Lim (x^(1/3) - 1) / (x - 1) }^2
= {Lim (x^(1/3) - 1) / (x^(1/3) - 1)(x^(2/3) + x^(1/3) + 1) }^2
= {Lim 1/(x^(2/3) + x^(1/3) + 1) }^2
= {1/(1 + 1 + 1) }^2
= {1/3}^2
= 1/9