Pertanyaan

Nilai x → ∞ lim 2 x 4 + 5 x 3 x 4 − 7 x 2 = ...

Nilai $x \to \infty lim \frac{3 x ^{4} - 7 x ^{2}}{2 x ^{4} + 5 x} = ...$

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A. Septianingsih

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 4 minus 7 x squared over denominator 2 x to the power of 4 plus 5 x end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 4 minus 7 x squared over denominator 2 x to the power of 4 plus 5 x end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 3 x to the power of 4 over denominator x to the power of 4 end fraction end style minus begin display style fraction numerator 7 x squared over denominator x to the power of 4 end fraction end style over denominator begin display style fraction numerator 2 x to the power of 4 over denominator x to the power of 4 end fraction end style plus begin display style fraction numerator 5 x over denominator x to the power of 4 end fraction end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 3 minus fraction numerator 7 x squared over denominator x to the power of 4 end fraction over denominator 2 plus begin display style 5 over x to the power of 4 end style end fraction end cell row blank equals cell fraction numerator 3 minus 0 over denominator 2 plus 0 end fraction end cell row blank equals cell 3 over 2 end cell end table end style$