Ujian Nasional Sekolah Menengah Atas tentukan nilai limit​

tentukan nilai limit​

[tex] \lim_{x \to0} \frac{ {x}^{2} - 2x}{ {x}^{2} - 3x } \\ [/tex]

[tex] = \lim_{x \to0} \frac{ \not x(x -2)}{ \not x(x - 3)} \\ [/tex]

[tex] = \lim_{x \to0} \frac{x - 2}{x - 3} \\ [/tex]

[tex] = \frac{(0) - 2}{(0) - 3} \\ [/tex]

[tex] = \frac{0 - 2}{0 - 3} \\ [/tex]

[tex] = \frac{ - 2}{ - 3} \\ [/tex]

[tex] = \bold{ \frac{2}{3} } \: \to \: \{ \red C \} \\ [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

_Rovy10_

Jawaban:

C. 2/3

Penjelasan:

[tex] \lim_{x \to0} \frac{ {x}^{2} - 2x}{ {x}^{2} - 3x} \\ = \lim_{ x \to0} \frac{x(x - 2)}{x(x - 3)} \\ = \lim_{x \to0} \frac{x - 2}{x - 3} \\ = \frac{0 - 2}{0 - 3} \\ = \frac{ - 2}{ - 3} \\ = \frac{2}{3} [/tex]

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