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x→∞lim​x2+4x+5​−x2+6x−1​=

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow infinity of square root of x squared plus 4 x plus 5 end root minus square root of x squared plus 6 x minus 1 end root equals end style 

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow infinity of square root of ax squared plus bx plus straight c end root minus square root of px squared plus qx plus straight r end root end cell row blank blank cell open curly brackets table row cell straight a greater than straight p rightwards double arrow plus infinity end cell row cell straight a equals straight p rightwards double arrow fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end cell row cell straight a less than straight p rightwards double arrow negative infinity end cell end table close end cell row blank blank blank row blank blank cell limit as straight x rightwards arrow infinity of square root of straight x squared plus 4 straight x plus 5 end root minus square root of straight x squared plus 6 straight x minus 1 end root end cell row blank equals cell fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end cell row blank equals cell fraction numerator 4 minus 6 over denominator 2 square root of 1 end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 2 end fraction end cell row blank equals cell negative 1 end cell row blank blank blank end table end style 

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