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x → ∞ lim ​ ( 3 x 3 − 2 x ​ − x − 1 ) = …

 

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dengan menggunakan rumus maka diperoleh Jadi, nilai dari adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses cube root of x cubed minus 2 x end root minus x minus 1 close parentheses end cell equals cell limit as x rightwards arrow infinity of open parentheses cube root of x cubed minus 2 x end root minus open parentheses x plus 1 close parentheses close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses cube root of x cubed minus 2 x end root minus cube root of open parentheses x plus 1 close parentheses cubed end root close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses cube root of x cubed minus 2 x end root minus cube root of x cubed plus 3 x squared plus 3 x plus 1 end root close parentheses end cell end table

a equals 1 comma space b equals 0 space comma p equals 3 dengan menggunakan rumus fraction numerator b minus p over denominator 3 cube root of a squared end root end fraction maka diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses cube root of x cubed minus 2 x end root minus cube root of x cubed plus 3 x squared plus 3 x plus 1 end root close parentheses end cell equals cell fraction numerator 0 minus 3 over denominator 3 cube root of 1 squared end root end fraction end cell row blank equals cell fraction numerator negative 3 over denominator 3 end fraction end cell row blank equals cell negative 1 end cell row blank blank blank end table

Jadi, nilai dari limit as x rightwards arrow infinity of open parentheses cube root of x cubed minus 2 x end root minus x minus 1 close parentheses adalah negative 1 

 

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