Pertanyaan

x → 2 lim x 2 + x − 6 x 3 − 8 = ...

$x \to 2 lim \frac{x ^{3} - 8}{x ^{2} + x - 6} = ...$

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Klaim

N. Indah

Master Teacher

Mahasiswa/Alumni Universitas Diponegoro

Jawaban terverifikasi

Jawaban

hasil dari .

hasil dari $limit as x rightwards arrow 2 of space fraction numerator x cubed minus 8 over denominator x squared plus x minus 6 end fraction equals space 12 over 5$ .

Pembahasan

Dengan demikian, hasil dari .

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space fraction numerator x cubed minus 8 over denominator x squared plus x minus 6 end fraction end cell equals cell space limit as x rightwards arrow 2 of space fraction numerator left parenthesis x minus 2 right parenthesis left parenthesis x squared plus 2 x plus 4 right parenthesis over denominator left parenthesis x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 2 of space fraction numerator left parenthesis x squared plus 2 x plus 4 right parenthesis over denominator left parenthesis x plus 3 right parenthesis end fraction end cell row blank equals cell fraction numerator left parenthesis 2 right parenthesis squared plus 2 left parenthesis 2 right parenthesis plus 4 over denominator 2 plus 3 end fraction end cell row blank equals cell 12 over 5 end cell end table$

Dengan demikian, hasil dari $limit as x rightwards arrow 2 of space fraction numerator x cubed minus 8 over denominator x squared plus x minus 6 end fraction equals space 12 over 5$ .