Pertanyaan

x → + ∞ lim 3 5 + 8 x 6 6 + x 2 = ....

$x \to + \infty lim \frac{6 6 + x ^{2}}{3 5 + 8 x} = ....$

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow plus infinity of open parentheses fraction numerator root index 6 of 6 plus x squared end root over denominator cube root of 5 plus 8 x end root end fraction close parentheses open parentheses fraction numerator begin display style fraction numerator 1 over denominator cube root of x end fraction end style over denominator begin display style fraction numerator 1 over denominator cube root of x end fraction end style end fraction close parentheses equals limit as x rightwards arrow plus infinity of open parentheses fraction numerator root index 6 of begin display style 6 over x squared end style plus begin display style x squared over x squared end style end root over denominator cube root of begin display style 5 over x end style plus begin display style fraction numerator 8 x over denominator x end fraction end style end root end fraction close parentheses equals fraction numerator root index 6 of 0 plus 1 end root over denominator cube root of 0 plus 8 end root end fraction equals 1 half$