Pertanyaan

Nilai x → 2 lim x 2 − 2 x x 3 − 8 = …

Nilai $x \to 2 lim \frac{x ^{3} - 8}{x ^{2} - 2 x} = \dots$

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of invisible function application fraction numerator x cubed minus 8 over denominator x squared minus 2 x end fraction end cell equals cell limit as x rightwards arrow 2 of invisible function application fraction numerator open parentheses x minus 2 close parentheses open parentheses x squared plus 2 x plus 4 close parentheses over denominator x open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of invisible function application fraction numerator open parentheses x squared plus 2 x plus 4 close parentheses over denominator x end fraction end cell row blank equals cell fraction numerator 2 squared plus 2 open parentheses 2 close parentheses plus 4 over denominator 2 end fraction end cell row blank equals cell 12 over 2 end cell row blank equals 6 end table end style$