Pertanyaan

Nilai x → ∞ lim ( 9 x 2 + 6 x − 2 − 3 x + 1 ) = …

Nilai $x \to \infty lim (9 x^{2} + 6 x - 2 - 3 x + 1) = \dots$

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H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

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Pembahasan

$limit as x rightwards arrow infinity of space open parentheses square root of 9 x squared plus 6 x minus 2 end root minus 3 x plus 1 close parentheses equals limit as x rightwards arrow infinity of space open parentheses square root of 9 x squared plus 6 x minus 2 end root minus left parenthesis 3 x plus 1 close parentheses equals limit as x rightwards arrow infinity of space open parentheses square root of 9 x squared plus 6 x minus 2 end root minus square root of left parenthesis 3 x plus 1 right parenthesis squared end root close parentheses equals limit as x rightwards arrow infinity of space open parentheses square root of 9 x squared plus 6 x minus 2 end root minus square root of 9 x squared minus 6 x plus 1 end root close parentheses equals fraction numerator b minus q over denominator 2 square root of a end fraction equals fraction numerator 6 minus open parentheses negative 6 close parentheses over denominator 2 square root of 9 end fraction equals 12 over 6 equals 2$

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