Pertanyaan

Nilai x → ∞ lim ( 4 x 2 + 6 x − 1 − 2 x + 2 ) = ....

Nilai $x \to \infty lim (4 x^{2} + 6 x - 1 - 2 x + 2) = ....$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

ingat konsep, jika maka: dari soal: lim x → ∞ ( 4 x 2 + 6 x − 1 − 2 x + 2 ) = = = = = = = lim x → ∞ ( 4 x 2 + 6 x − 1 − ( 2 x − 2 ) ) lim x → ∞ ( 4 x 2 + 6 x − 1 − ( 2 x − 2 ) 2 ) lim x → ∞ ( 4 x 2 + 6 x − 1 − 4 x 2 − 8 x + 4 ) 2 a b − q 2 4 6 + 8 2 ⋅ 2 14 2 7 Jadi, jawaban yang tepat adalah E.

ingat konsep, jika

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 equals straight L

maka:

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight L end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell infinity space end cell left right double arrow cell straight a greater than straight p end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight L end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell negative infinity end cell left right double arrow cell straight a less than straight p end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight L end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end cell left right double arrow cell straight a equals straight p end cell end table$

dari soal:

$lim_{x \to \infty} (4 x^{2} + 6 x - 1 - 2 x + 2) = = = = = = = lim_{x \to \infty} (4 x^{2} + 6 x - 1 - (2 x - 2)) lim_{x \to \infty} (4 x^{2} + 6 x - 1 - (2 x - 2)^{2}) lim_{x \to \infty} (4 x^{2} + 6 x - 1 - 4 x^{2} - 8 x + 4) \frac{b - q}{2 a} \frac{6 + 8}{2 4} \frac{14}{2 \cdot 2} \frac{7}{2}$

Jadi, jawaban yang tepat adalah E.

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