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Hitunglah! 1.

Hitunglah!

1. begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 5 plus 2 x minus 1 over denominator 4 x to the power of 4 plus 3 x plus 2 end fraction equals... end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 5 plus 2 x minus 1 over denominator 4 x to the power of 4 plus 3 x plus 2 end fraction cross times fraction numerator begin display style 1 over x to the power of 5 end style over denominator begin display style 1 over x to the power of 5 end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 3 x to the power of 5 over denominator x to the power of 5 end fraction end style plus begin display style fraction numerator 2 x over denominator x to the power of 5 end fraction end style minus begin display style 1 over x to the power of 5 end style over denominator begin display style fraction numerator 4 x to the power of 4 over denominator x to the power of 5 end fraction end style plus begin display style fraction numerator 3 x over denominator x to the power of 5 end fraction end style plus begin display style 2 over x to the power of 5 end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 3 plus 2 over x to the power of 4 minus 1 over x to the power of 5 end style over denominator begin display style 4 over x plus 3 over x to the power of 4 plus 2 over x to the power of 5 end style end fraction end cell row blank equals cell fraction numerator begin display style 3 plus 2 over infinity minus 1 over infinity end style over denominator begin display style 4 over infinity plus 3 over infinity plus 2 over infinity end style end fraction end cell row blank equals cell fraction numerator 3 plus 0 minus 0 over denominator 0 plus 0 plus 0 end fraction end cell row blank equals infinity end table end style 

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