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Hasil dari  adalah ....

Hasil dari limit as x rightwards arrow infinity of open parentheses square root of 4 x squared plus 3 x minus 5 end root minus square root of 4 x squared minus 7 x plus 2 end root close parentheses adalah ....

Jawaban:

limit as x rightwards arrow infinity of square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root equals straight L 

  • straight L equals negative infinity jika dan hanya jika a less than p 
  • straight L equals infinity jika dan hanya jika a greater than p 
  • straight L equals fraction numerator b minus q over denominator 2 square root of a end fraction jika dan hanya jika a equals p 

Karena a equals p, maka straight L equals fraction numerator b minus q over denominator 2 square root of a end fraction 

table attributes columnalign right center left columnspacing 0px end attributes row straight L equals cell fraction numerator b minus q over denominator 2 square root of a end fraction end cell row blank equals cell fraction numerator 3 minus open parentheses negative 7 close parentheses over denominator 2 square root of 4 end fraction end cell row blank equals cell fraction numerator 10 over denominator 2 times 2 end fraction end cell row blank equals cell 10 over 4 end cell row blank equals cell 5 over 2 end cell end table 

Jadi, limit as x rightwards arrow infinity of open parentheses square root of 4 x squared plus 3 x minus 5 end root minus square root of 4 x squared minus 7 x plus 2 end root close parentheses equals 5 over 2 

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