Pertanyaan

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

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

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Jawaban terverifikasi

Pembahasan

$limit as x rightwards arrow infinity of fraction numerator open parentheses 3 x minus 2 close parentheses cubed over denominator left parenthesis 4 x plus 3 right parenthesis cubed end fraction equals limit as x rightwards arrow infinity of fraction numerator 27 x cubed minus 54 x squared minus 36 x minus 8 over denominator 64 x cubed plus 144 x squared plus 108 x plus 27 end fraction equals limit as x rightwards arrow infinity of fraction numerator 27 minus begin display style 54 over x end style plus begin display style 36 over x squared end style minus begin display style 8 over x cubed end style over denominator 64 plus begin display style 144 over x end style plus begin display style 108 over x squared end style plus begin display style 27 over x cubed end style end fraction equals 27 over 64$