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Hasil dari x→∞lim​⎝⎛​3+3+3+x3​3​3​⎠⎞​ adalah....

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Hasil dari limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator 3 plus begin display style 3 over x end style end fraction end style end fraction close parentheses adalah....

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table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator 3 plus begin display style 3 over x end style end fraction end style end fraction close parentheses end cell equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator begin display style fraction numerator 3 x plus 3 over denominator x end fraction end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 x over denominator begin display style 3 x plus 3 end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator begin display style fraction numerator 9 x plus 9 plus 3 x over denominator begin display style 3 x plus 3 end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator begin display style fraction numerator 12 x plus 9 over denominator begin display style 3 x plus 3 end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 open parentheses 3 x plus 3 close parentheses over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 9 x plus 9 over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 9 x plus 9 over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator 36 x plus 27 plus 9 x plus 9 over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator 45 x plus 36 over denominator begin display style 12 x plus 9 end style end fraction close parentheses times fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator begin display style fraction numerator 45 x over denominator x end fraction end style plus begin display style 36 over x end style over denominator begin display style fraction numerator begin display style 12 x end style over denominator x end fraction plus fraction numerator begin display style 9 end style over denominator x end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator begin display style 45 plus 36 over x end style over denominator begin display style 12 plus fraction numerator begin display style 9 end style over denominator x end fraction end style end fraction close parentheses end cell end table 

ingat bahwa limit as x rightwards arrow infinity of a over x to the power of n equals 0 maka

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses fraction numerator begin display style 45 plus 36 over x end style over denominator begin display style 12 plus fraction numerator begin display style 9 end style over denominator x end fraction end style end fraction close parentheses end cell equals cell fraction numerator 45 plus 0 over denominator 12 plus 0 end fraction end cell row blank equals cell 45 over 12 end cell row blank equals cell 15 over 4 end cell end table 

Dengan demikian hasil dari limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator 3 plus begin display style 3 over x end style end fraction end style end fraction close parentheses equals 15 over 4.

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Terakhir diupdate 07 Oktober 2021

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