Pertanyaan

Nilai x → 4 lim x − 4 x 2 − 3 x − 4 = ...

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

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

nilai adalah .

nilai $limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction$ adalah

Pembahasan

Subtitusikan nilai , Karena hasilnya maka cari dengan memfaktorkan persamaan kuadrat, Jadi, nilai adalah .

Subtitusikan nilai ,

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction end cell equals cell fraction numerator 4 squared minus 3 left parenthesis 4 right parenthesis minus 4 over denominator 4 minus 4 end fraction end cell row blank equals cell fraction numerator 16 minus 12 minus 4 over denominator 0 end fraction end cell row blank equals cell fraction numerator 16 minus 16 over denominator 0 end fraction end cell row blank equals cell 0 over 0 end cell end table$

Karena hasilnya 0 over 0 maka cari dengan memfaktorkan persamaan kuadrat,

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator up diagonal strike left parenthesis x minus 4 right parenthesis end strike left parenthesis x plus 1 right parenthesis over denominator up diagonal strike x minus 4 end strike end fraction end cell row blank equals cell limit as x rightwards arrow 4 of left parenthesis x plus 1 right parenthesis end cell row blank equals cell 4 plus 1 end cell row blank equals 5 end table$

Jadi, nilai $limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction$ adalah .