Limit Fungsi Kelas 11 Selesaikanlah! [tex] \lim_{x \to \ 1} \frac{ \sqrt[3]{ x^{2} } -2 \sqrt[3]{x} +1 }{(x-1)^2} [/tex]

smoga jwabannya dpat mmbantu

[tex] = lim \: \frac{ {x}^{ \frac{2}{3} } { - 2x}^{ \frac{1}{3} } + 1}{ {x}^{2} - 2x + 1} \\ x = > 1 \\ = lim \: \frac{ \frac{2}{3} {x}^{ \frac{ - 1}{3} } - \frac{2}{3} {x}^{ \frac{ - 2}{3} } }{2x - 2} \\ = lim \: \frac{ \frac{ - 9}{2} {x}^{ \frac{4}{3} } + \frac{9}{4} {x}^{ \frac{5}{3} } }{2} \\ = lim \: \frac{ \frac{ - 9}{2} {(1)}^{ \frac{4}{3} } + \frac{9}{4} {(1)}^{ \frac{5}{3} } }{2} \\ = lim \: \frac{ \frac{ - 18}{4} + \frac{9}{4} }{2} \\ = lim \: \frac{ \frac{ - 9}{4} }{2} \\ = lim \: \frac{ - 9}{4} \div 2 \\ = lim \frac{ - 9}{4} \times \frac{1}{2} \\ = - \frac{9}{8} [/tex]
Semoga bermanfaat.....
-Prisco