Pertanyaan

Nilai x → 0 lim x 6 − 7 x 5 + 10 x 4 x 5 − 3 x 4 adalah ...

Nilai $x \to 0 lim \frac{x ^{5} - 3 x ^{4}}{x ^{6} - 7 x ^{5} + 10 x ^{4}}$ adalah ...

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

nilai .

nilai $begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x to the power of 5 minus 3 x to the power of 4 over denominator x to the power of 6 minus 7 x to the power of 5 plus 10 x to the power of 4 end fraction equals negative 0 comma 3 end style$ .

Pembahasan

Limit dapat dikatakan sebagai prediksi nilai ordinat yang didapat pada suatu titik. Jadi, nilai .

Limit dapat dikatakan sebagai prediksi nilai ordinat yang didapat pada suatu titik.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator x to the power of 5 minus 3 x to the power of 4 over denominator x to the power of 6 minus 7 x to the power of 5 plus 10 x to the power of 4 end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator up diagonal strike x to the power of 4 end strike left parenthesis x minus 3 right parenthesis over denominator up diagonal strike x to the power of 4 end strike left parenthesis x squared minus 7 x plus 10 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator left parenthesis x minus 3 right parenthesis over denominator left parenthesis x squared minus 7 x plus 10 right parenthesis end fraction end cell row blank equals cell fraction numerator left parenthesis 0 minus 3 right parenthesis over denominator left parenthesis 0 squared minus 7 left parenthesis 0 right parenthesis plus 10 right parenthesis end fraction end cell row blank equals cell fraction numerator negative 3 over denominator 10 end fraction end cell row blank equals cell negative 0 comma 3 end cell end table end style$

Jadi, nilai $begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x to the power of 5 minus 3 x to the power of 4 over denominator x to the power of 6 minus 7 x to the power of 5 plus 10 x to the power of 4 end fraction equals negative 0 comma 3 end style$ .