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Tentukan nilai dari

Tentukan nilai dari begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 4 plus 2 x cubed minus 5 x plus 4 over denominator 2 x cubed minus 4 x squared plus 9 end fraction equals... end style 

Jawaban:

penyelesaian limit tersebut degan cara membagi dengan pangkat tertinggi

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 4 plus 2 x cubed minus 5 x plus 4 over denominator 2 x cubed minus 4 x squared plus 9 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 3 x to the power of 4 over denominator x to the power of 4 end fraction end style plus begin display style fraction numerator 2 x cubed over denominator x to the power of 4 end fraction end style minus begin display style fraction numerator 5 x over denominator x to the power of 4 end fraction end style plus begin display style 4 over x to the power of 4 end style over denominator begin display style fraction numerator 2 x cubed over denominator x to the power of 4 end fraction end style minus begin display style fraction numerator 4 x squared over denominator x to the power of 4 end fraction end style plus begin display style 9 over x to the power of 4 end style end fraction end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 3 plus 2 over x minus 5 over x cubed plus 4 over x to the power of 4 end style over denominator begin display style 2 over x minus 4 over x squared plus 9 over x to the power of 4 end style end fraction end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 3 plus 0 minus 0 plus 0 over denominator 0 minus 0 plus 0 end fraction end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals infinity end table end style 

 

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