Pertanyaan

N i l ai d a r i x → ∞ lim ( 4 x + 2 ) 3 ( 3 x − 2 ) 3 = .....

$N i l ai d a r i x \to \infty lim \frac{( 3 x - 2 ) ^{3}}{( 4 x + 2 ) ^{3}} = .....$

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Jawaban terverifikasi

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$limit as x rightwards arrow infinity of fraction numerator left parenthesis 3 x minus 2 right parenthesis cubed over denominator left parenthesis 4 x plus 2 right parenthesis cubed end fraction equals limit as x rightwards arrow infinity of fraction numerator left parenthesis 3 x minus 2 right parenthesis cubed left parenthesis 3 x minus 2 right parenthesis squared over denominator left parenthesis 4 x plus 2 right parenthesis cubed left parenthesis 4 x plus 2 right parenthesis end fraction equals limit as x rightwards arrow infinity of fraction numerator 9 x squared minus 12 x plus 4 right parenthesis left parenthesis 3 x minus 2 right parenthesis over denominator 16 x cubed plus 144 x squared plus 108 x plus 27 end fraction equals limit as x rightwards arrow infinity of fraction numerator 27 x cubed minus 54 x squared plus 36 x minus 8 over denominator 64 x cubed plus 144 x squared plus 108 x plus 27 end fraction equals limit as x rightwards arrow infinity of 27 over 64 equals 27 over 64$