Pertanyaan

Nilai x → 2 lim x 3 − 5 x 2 + 6 x x 3 + 3 x 2 − 4 x − 12 = ...

Nilai $x \to 2 lim \frac{x ^{3} + 3 x ^{2} - 4 x - 12}{x ^{3} - 5 x ^{2} + 6 x} = ...$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Pembahasan

Dengan menggunakan metode pemfaktoran diperoleh Ddengan demikian hasil dari .

Dengan menggunakan metode pemfaktoran diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x cubed plus 3 x squared minus 4 x minus 12 over denominator x cubed minus 5 x squared plus 6 x end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 2 close parentheses open parentheses x plus 3 close parentheses open parentheses x minus 2 close parentheses over denominator x open parentheses x minus 3 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 2 close parentheses open parentheses x plus 3 close parentheses over denominator x open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 plus 2 close parentheses open parentheses 2 plus 3 close parentheses over denominator 2 open parentheses 2 minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 4 times 5 over denominator 2 times open parentheses negative 1 close parentheses end fraction end cell row blank equals cell fraction numerator 20 over denominator negative 2 end fraction end cell row blank equals cell negative 10 end cell end table$

Ddengan demikian hasil dari

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x cubed plus 3 x squared minus 4 x minus 12 over denominator x cubed minus 5 x squared plus 6 x end fraction end cell end table equals negative 10$ .