Nilai x→0lim​x6−7x5+10x4x5−3x4​ adalah ...

Pertanyaan

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 end style adalah ...

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

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.

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

221

4.7 (13 rating)

Devina Febrianti

Mudah dimengerti

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