Pertanyaan

Tentukan nilai: x → ∞ lim ( 5 x − 1 − 9 x 2 − 18 x + 1 − 4 x 2 + 16 x − 3 )

Tentukan nilai:

$x \to \infty lim (5 x - 1 - 9 x^{2} - 18 x + 1 - 4 x^{2} + 16 x - 3)$

N. Puspita

Master Teacher

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Pembahasan

Dengan menerapkan konsep perkalian sekawan pada limit tak hingga: Kosep limit tak hingga: Jika: Maka: Jadi,

Dengan menerapkan konsep perkalian sekawan pada limit tak hingga:

Kosep limit tak hingga:

Jika:

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

Maka:

$equals fraction numerator 0 minus left parenthesis negative 18 right parenthesis over denominator 2 square root of 9 end fraction plus fraction numerator 0 minus 16 over denominator 2 square root of 4 end fraction minus 1 equals 18 over 6 plus fraction numerator negative 16 over denominator 4 end fraction minus 1 equals 3 minus 4 minus 1 equals negative 2$

Jadi,

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