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Nilai x → ∞ lim ​ − 2 x 2 + x + 3 4 x 2 − 2 x ​ = ....

Nilai  

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N. Puspita

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nilai adalah .

nilai limit as x rightwards arrow infinity of fraction numerator 4 x squared minus 2 x over denominator negative 2 x squared plus x plus 3 end fraction adalah negative 2.

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Jadi, nilai adalah .

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 4 x squared minus 2 x over denominator negative 2 x squared plus x plus 3 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator 4 x squared minus 2 x over denominator negative 2 x squared plus x plus 3 end fraction times fraction numerator begin display style 1 over x squared end style over denominator begin display style 1 over x squared end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 4 minus begin display style 2 over x end style over denominator negative 2 plus begin display style 1 over x end style plus begin display style 3 over x squared end style end fraction end cell row blank equals cell fraction numerator 4 minus 0 over denominator negative 2 plus 0 plus 0 end fraction end cell row blank equals cell negative 4 over 2 end cell row blank equals cell negative 2 end cell end table  

Jadi, nilai limit as x rightwards arrow infinity of fraction numerator 4 x squared minus 2 x over denominator negative 2 x squared plus x plus 3 end fraction adalah negative 2.

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