Pertanyaan

x → ∞ lim ( x + 2 ) ( x − 5 ) − ( x + 1 ) =

$x \to \infty lim (x + 2) (x - 5) - (x + 1) =$

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow infinity of square root of ax squared plus bx plus straight c end root minus square root of px squared plus qx plus straight r end root end cell row blank blank cell open curly brackets table row cell straight a greater than straight p rightwards double arrow plus infinity end cell row cell straight a equals straight p rightwards double arrow fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end cell row cell straight a less than straight p rightwards double arrow negative infinity end cell end table close end cell row blank blank blank row blank blank cell limit as straight x rightwards arrow infinity of square root of open parentheses straight x plus 2 close parentheses open parentheses straight x minus 5 close parentheses end root minus open parentheses straight x plus 1 close parentheses end cell row blank equals cell limit as straight x rightwards arrow infinity of square root of left parenthesis straight x plus 2 right parenthesis open parentheses straight x minus 5 close parentheses end root minus square root of left parenthesis straight x plus 1 right parenthesis squared end root end cell row blank equals cell limit as straight x rightwards arrow infinity of square root of straight x squared minus 3 straight x minus 10 end root minus square root of straight x squared plus 2 straight x plus 1 end root end cell row blank equals cell fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end cell row blank equals cell fraction numerator negative 3 minus 2 over denominator 2 square root of 1 end fraction end cell row blank equals cell negative 5 over 2 end cell row blank blank blank end table end style$