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Hasil dari $begin mathsize 14px style limit as x rightwards arrow negative straight infinity of invisible function application fraction numerator open parentheses 3 x minus 7 close parentheses squared bullet square root of 4 x squared minus 5 x plus 1 end root over denominator open parentheses 6 x squared minus 4 close parentheses bullet cube root of 64 x cubed plus 6 x plus 2 end root end fraction end style$ adalah ...

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Misalkan x = - p sehingga p = - x , maka apabila x → -∞ , didapat bahwa p → ∞ . Sehingga

Misalkan x = -p sehingga p = -x , maka apabila x → -∞, didapat bahwa p → ∞. Sehingga

$begin mathsize 14px style limit as x rightwards arrow negative straight infinity of invisible function application fraction numerator open parentheses 3 x minus 7 close parentheses squared times square root of 4 x squared minus 5 x plus 1 end root over denominator open parentheses 6 x squared minus 4 close parentheses times cube root of 64 x cubed plus 6 x plus 2 end root end fraction equals limit as p rightwards arrow straight infinity of invisible function application fraction numerator open parentheses 3 open parentheses negative p close parentheses minus 7 close parentheses squared times square root of 4 open parentheses negative p close parentheses squared minus 5 open parentheses negative p close parentheses plus 1 end root over denominator open parentheses 6 open parentheses negative p close parentheses squared minus 4 close parentheses times cube root of 64 open parentheses negative p close parentheses cubed plus 6 open parentheses negative p close parentheses plus 2 end root end fraction equals limit as p rightwards arrow straight infinity of invisible function application fraction numerator open parentheses negative 3 p minus 7 close parentheses squared times square root of 4 p squared plus 5 p plus 1 end root over denominator open parentheses 6 p squared minus 4 close parentheses times cube root of negative 64 p cubed minus 6 p plus 2 end root end fraction equals limit as p rightwards arrow straight infinity of invisible function application open parentheses fraction numerator open parentheses negative 3 p minus 7 close parentheses squared times square root of 4 p squared plus 5 p plus 1 end root over denominator open parentheses 6 p squared minus 4 close parentheses times cube root of negative 64 p cubed minus 6 p plus 2 end root end fraction times fraction numerator 1 over p cubed over denominator 1 over p cubed end fraction close parentheses equals limit as p rightwards arrow straight infinity of invisible function application open parentheses fraction numerator open parentheses negative 3 p minus 7 close parentheses squared times square root of 4 p squared plus 5 p plus 1 end root over denominator open parentheses 6 p squared minus 4 close parentheses times cube root of negative 64 p cubed minus 6 p plus 2 end root end fraction times fraction numerator 1 over p squared times 1 over p over denominator 1 over p squared times 1 over p end fraction close parentheses equals limit as p rightwards arrow straight infinity of invisible function application open parentheses fraction numerator open parentheses negative 3 p minus 7 close parentheses squared times square root of 4 p squared plus 5 p plus 1 end root over denominator open parentheses 6 p squared minus 4 close parentheses times cube root of negative 64 p cubed minus 6 p plus 2 end root end fraction times fraction numerator open parentheses 1 over p close parentheses squared times square root of 1 over p squared end root over denominator 1 over p squared times cube root of 1 over p cubed end root end fraction close parentheses equals limit as p rightwards arrow straight infinity of invisible function application fraction numerator open parentheses negative 3 p minus 7 close parentheses squared times open parentheses 1 over p close parentheses squared times square root of 4 p squared plus 5 p plus 1 end root times square root of 1 over p squared end root over denominator open parentheses 6 p squared minus 4 close parentheses times 1 over p squared times cube root of negative 64 p cubed minus 6 p plus 2 end root times cube root of 1 over p cubed end root end fraction equals limit as p rightwards arrow straight infinity of invisible function application fraction numerator open parentheses open parentheses negative 3 p minus 7 close parentheses times 1 over p close parentheses squared times square root of open parentheses 4 p squared plus 5 p plus 1 close parentheses times 1 over p squared end root over denominator open parentheses 6 minus 4 over p squared close parentheses times cube root of open parentheses negative 64 p cubed minus 6 p plus 2 close parentheses times 1 over p cubed end root end fraction equals limit as p rightwards arrow straight infinity of invisible function application fraction numerator open parentheses negative 3 minus 7 over p close parentheses squared times square root of 4 plus 5 over p plus 1 over p squared end root over denominator open parentheses 6 minus 4 over p squared close parentheses times cube root of negative 64 minus 6 over p squared plus 2 over p cubed end root end fraction equals fraction numerator open parentheses negative 3 minus 0 close parentheses squared times square root of 4 plus 0 plus 0 end root over denominator open parentheses 6 minus 0 close parentheses times cube root of negative 64 minus 0 plus 0 end root end fraction equals fraction numerator open parentheses negative 3 close parentheses squared times square root of 4 over denominator open parentheses 6 close parentheses times cube root of negative 64 end root end fraction equals fraction numerator 9 times 2 over denominator 6 times open parentheses negative 4 close parentheses end fraction equals fraction numerator 18 over denominator negative 24 end fraction equals negative 3 over 4 end style$