Pertanyaan

Nilai dari x → ∞ lim ( 3 x 3 − 2 x 2 − x − 1 ) = ....

Nilai dari $x \to \infty lim (3 x^{3} - 2 x^{2} - x - 1) =$ ....

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

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Pembahasan

$limit as straight x rightwards arrow infinity of open parentheses cube root of straight x cubed minus 2 straight x squared end root minus straight x minus 1 close parentheses equals limit as straight x rightwards arrow infinity of open parentheses cube root of straight x cubed minus 2 straight x squared end root minus left parenthesis straight x plus 1 right parenthesis close parentheses equals limit as straight x rightwards arrow infinity of open parentheses cube root of straight x cubed minus 2 straight x squared end root minus cube root of left parenthesis straight x plus 1 right parenthesis cubed end root close parentheses equals limit as straight x rightwards arrow infinity of open parentheses cube root of straight x cubed minus 2 straight x squared end root minus cube root of straight x cubed plus 3 straight x squared plus 3 straight x plus 1 end root close parentheses Ingat space rumus colon limit as straight x rightwards arrow infinity of open parentheses cube root of ax cubed plus bx squared plus cx plus straight d end root minus cube root of ax cubed plus mx squared plus nx plus straight s end root close parentheses equals fraction numerator open parentheses straight b minus straight m close parentheses over denominator 3 open parentheses cube root of straight a squared end root close parentheses end fraction Sehingga colon limit as straight x rightwards arrow infinity of open parentheses cube root of straight x cubed minus 2 straight x squared end root minus cube root of straight x cubed plus 3 straight x squared plus 3 straight x plus 1 end root close parentheses equals fraction numerator left parenthesis negative 2 minus 3 right parenthesis over denominator 3 cube root of 1 end fraction equals negative 5 over 3$

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