Pertanyaan

x → ∞ lim 3 x 2 − x − 2 − 5 x 2 + 2 x − 3 = ...

$x \to \infty lim 3 x^{2} - x - 2 - 5 x^{2} + 2 x - 3 = ...$

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Jawaban

x → ∞ lim 3 x 2 − x − 2 − 5 x 2 + 2 x − 3 = − ∞ .

x \to \infty lim 3 x^{2} - x - 2 - 5 x^{2} + 2 x - 3 = - \infty

Pembahasan

Jadi, x → ∞ lim 3 x 2 − x − 2 − 5 x 2 + 2 x − 3 = − ∞ .

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

Jadi, $x \to \infty lim 3 x^{2} - x - 2 - 5 x^{2} + 2 x - 3 = - \infty$ .