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Asimtot datar dari fungsi adalah ....

Asimtot datar dari fungsi $begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator open parentheses 2 x squared minus 7 x close parentheses squared times open parentheses x plus 4 close parentheses cubed over denominator open parentheses x cubed plus 5 x minus 6 close parentheses squared times open parentheses 3 x minus 8 close parentheses end fraction end style$ adalah ....

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow straight infinity of invisible function application fraction numerator open parentheses 2 x squared minus 7 x close parentheses squared times open parentheses x plus 4 close parentheses cubed over denominator open parentheses x cubed plus 5 x minus 6 close parentheses squared times open parentheses 3 x minus 8 close parentheses end fraction end cell equals cell limit as x rightwards arrow straight infinity of invisible function application open parentheses fraction numerator open parentheses 2 x squared minus 7 x close parentheses squared times open parentheses x plus 4 close parentheses cubed over denominator open parentheses x cubed plus 5 x minus 6 close parentheses squared times open parentheses 3 x minus 8 close parentheses end fraction times fraction numerator 1 over x to the power of 7 over denominator 1 over x to the power of 7 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow straight infinity of invisible function application open parentheses fraction numerator open parentheses 2 x squared minus 7 x close parentheses squared times open parentheses x plus 4 close parentheses cubed over denominator open parentheses x cubed plus 5 x minus 6 close parentheses squared times open parentheses 3 x minus 8 close parentheses end fraction times fraction numerator 1 over x to the power of 4 times 1 over x cubed over denominator 1 over x to the power of 6 times 1 over x end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow straight infinity of invisible function application open parentheses fraction numerator open parentheses 2 x squared minus 7 x close parentheses squared times open parentheses x plus 4 close parentheses cubed over denominator open parentheses x cubed plus 5 x minus 6 close parentheses squared times open parentheses 3 x minus 8 close parentheses end fraction times fraction numerator open parentheses 1 over x squared close parentheses squared times open parentheses 1 over x close parentheses cubed over denominator open parentheses 1 over x cubed close parentheses squared times 1 over x end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow straight infinity of invisible function application fraction numerator open parentheses 2 x squared minus 7 x close parentheses squared times open parentheses 1 over x squared close parentheses squared times open parentheses x plus 4 close parentheses cubed times open parentheses 1 over x close parentheses cubed over denominator open parentheses x cubed plus 5 x minus 6 close parentheses squared times open parentheses 1 over x cubed close parentheses squared times open parentheses 3 x minus 8 close parentheses times 1 over x end fraction end cell row blank equals cell limit as x rightwards arrow straight infinity of invisible function application fraction numerator open parentheses open parentheses 2 x squared minus 7 x close parentheses times 1 over x squared close parentheses squared times open parentheses open parentheses x plus 4 close parentheses times 1 over x close parentheses cubed over denominator open parentheses open parentheses x cubed plus 5 x minus 6 close parentheses times 1 over x cubed close parentheses squared times open parentheses 3 minus 8 over x close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow straight infinity of invisible function application fraction numerator open parentheses 2 minus 7 over x close parentheses squared times open parentheses 1 plus 4 over x close parentheses cubed over denominator open parentheses 1 plus 5 over x squared minus 6 over x cubed close parentheses squared times open parentheses 3 minus 8 over x close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 minus 0 close parentheses squared times open parentheses 1 plus 0 close parentheses cubed over denominator open parentheses 1 plus 0 minus 0 close parentheses squared times open parentheses 3 minus 0 close parentheses end fraction end cell row blank equals cell fraction numerator 2 squared times 1 cubed over denominator 1 squared times 3 end fraction end cell row blank equals cell fraction numerator 4 times 1 over denominator 1 times 3 end fraction end cell row blank equals cell 4 over 3 end cell end table end style$

Karena $begin mathsize 14px style limit as x rightwards arrow straight infinity of invisible function application fraction numerator open parentheses 2 x squared minus 7 x close parentheses squared times open parentheses x plus 4 close parentheses cubed over denominator open parentheses x cubed plus 5 x minus 6 close parentheses squared times open parentheses 3 x minus 8 close parentheses end fraction equals 4 over 3 comma end style$ maka asimtot datar dari fungsi adalah .

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