Pertanyaan

Tentukan nilai: x → ∞ lim ( 2 x − 2 − 4 x 2 − 4 x + 3 )

Tentukan nilai:

$x \to \infty lim (2 x - 2 - 4 x^{2} - 4 x + 3)$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari limit as x rightwards arrow infinity of left parenthesis 2 straight x minus 2 minus square root of 4 straight x squared minus 4 straight x plus 3 end root right parenthesis equals negative 1

limit as x rightwards arrow infinity of left parenthesis 2 straight x minus 2 minus square root of 4 straight x squared minus 4 straight x plus 3 end root right parenthesis equals negative 1

Pembahasan

Ingat kembali : jika dan hanya jika jika dan hanya jika jika dan hanya jika sehingga karna nilai maka Jadi, nilai dari .

Ingat kembali :

jika dan hanya jika
$L equals fraction numerator b minus q over denominator 2 square root of a end fraction$ jika dan hanya jika
jika dan hanya jika

sehingga

karna nilai a equals p equals 4 maka

$L equals fraction numerator b minus q over denominator 2 square root of a end fraction space space space equals fraction numerator negative 8 minus left parenthesis negative 4 right parenthesis over denominator 2 square root of 4 end fraction space space space equals fraction numerator negative 8 plus 4 over denominator 2 times 2 end fraction equals fraction numerator negative 4 over denominator 4 end fraction equals negative 1$

Jadi, nilai dari limit as x rightwards arrow infinity of left parenthesis 2 straight x minus 2 minus square root of 4 straight x squared minus 4 straight x plus 3 end root right parenthesis equals negative 1 .