Pertanyaan

x → ∞ lim 5 x 5 − 3 x 4 + 9 6 x 7 − 6 x 2 − 10 x = … + 3 m u .

$x \to \infty lim \frac{6 x ^{7} - 6 x ^{2} - 10 x}{5 x ^{5} - 3 x ^{4} + 9} = \dots + 3 m u .$

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of fraction numerator 6 straight x to the power of 7 minus 6 straight x squared minus 10 straight x over denominator 5 straight x to the power of 5 minus 3 straight x to the power of 4 plus 9 end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator up diagonal strike x to the power of 7 end strike to the power of x squared end exponent open parentheses 6 minus begin display style 6 over x to the power of 5 end style minus begin display style 10 over x to the power of 6 end style close parentheses over denominator up diagonal strike x to the power of 5 end strike open parentheses 5 minus begin display style 3 over x end style plus begin display style 9 over x to the power of 5 end style close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator x squared open parentheses 6 minus begin display style 6 over x to the power of 5 end style minus begin display style 10 over x to the power of 6 end style close parentheses over denominator 5 minus begin display style 3 over x end style plus begin display style 9 over x to the power of 5 end style end fraction end cell row blank equals cell fraction numerator infinity squared open parentheses 6 minus 0 minus 0 close parentheses over denominator 5 minus 0 plus 0 end fraction end cell row blank equals cell infinity over 5 end cell row blank equals infinity end table end style$