Pertanyaan

Nilai x → 0 lim 6 x 2 − 6 x 3 − 3 x + 9 = …

Nilai $x \to 0 lim \frac{3 - 3 x + 9}{6 x ^{2} - 6 x} = \dots$

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Habis dalam

Klaim

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$space limit as x rightwards arrow 0 of space fraction numerator 3 minus square root of 3 x plus 9 end root over denominator 6 x squared minus 6 x end fraction. fraction numerator 3 plus square root of 3 x plus 9 end root over denominator 3 plus square root of 3 x plus 9 end root end fraction space limit as x rightwards arrow 0 of fraction numerator 9 minus open parentheses 3 x plus 9 close parentheses over denominator open parentheses 6 x open parentheses x minus 1 close parentheses open parentheses 3 plus square root of 3 x plus 9 end root close parentheses close parentheses end fraction limit as x rightwards arrow 0 of fraction numerator negative 3 over denominator 6 x open parentheses x minus 1 close parentheses open parentheses 3 plus square root of 3 x plus 9 end root close parentheses end fraction limit as x rightwards arrow 0 of fraction numerator negative 1 over denominator 2 open parentheses x minus 1 close parentheses open parentheses 3 plus square root of 3 x plus 9 end root close parentheses end fraction equals fraction numerator negative 1 over denominator open parentheses 2 close parentheses open parentheses negative 1 close parentheses open parentheses square root of 3 x plus 9 end root close parentheses end fraction equals fraction numerator negative 1 over denominator open parentheses 2 close parentheses open parentheses negative 1 close parentheses open parentheses 6 close parentheses end fraction equals 1 over 12$