Pertanyaan

x → ∞ lim ( 4 x 2 − 8 x + 7 − 4 x 2 + 2 x − 1 )

$x \to \infty lim (4 x^{2} - 8 x + 7 - 4 x^{2} + 2 x - 1)$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari begin mathsize 14px style limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 7 end root minus square root of 4 x squared plus 2 x minus 1 end root close parentheses end style

begin mathsize 14px style limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 7 end root minus square root of 4 x squared plus 2 x minus 1 end root close parentheses end style

adalah

begin mathsize 14px style negative 5 over 2 end style

Pembahasan

Diperhatikan limit bentuk tak tentu berikut. jika dan hanya jika jika dan hanya jika jika dan hanya jika sehingga Jadi, nilai dari adalah .

Diperhatikan limit bentuk tak tentu berikut.

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

$begin mathsize 12px style limit as x rightwards arrow infinity of space left parenthesis square root of 4 x squared minus 8 x plus 7 end root minus square root of 4 x squared plus 2 x minus 1 end root right parenthesis space equals fraction numerator b minus q over denominator 2 square root of a end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator negative 8 minus 2 over denominator 2 square root of 4 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator negative 10 over denominator 4 end fraction equals fraction numerator negative 5 over denominator 2 end fraction end style$

Jadi, nilai dari begin mathsize 14px style limit as x rightwards arrow infinity of open parentheses square root of 4 x squared minus 8 x plus 7 end root minus square root of 4 x squared plus 2 x minus 1 end root close parentheses end style adalah begin mathsize 14px style negative 5 over 2 end style .

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

4.2 (4 rating)

Ananda Tian

Jawaban tidak sesuai Pembahasan terpotong

Pertanyaan serupa

Nilai dari L i m x → ∞ ( 7 x − 3 − 7 x + 1 ) =

4.2

Jawaban terverifikasi

$\style{font-size:14px}{\mathrm{Nilai}}\style{font-size:14px}\;\underset{\style{font-size:14px}{\mathrm x}\style{font-size:14px}\rightarrow\style{font-size:14px}\infty}{\style{font-size:14px}\lim}\left(\sqrt{\style{font-size:14px}4\style{font-size:14px}{\mathrm x}^\style{font-size:14px}2\style{font-size:14px}\;\style{font-size:14px}+\style{font-size:14px}\;\style{font-size:14px}3\style{font-size:14px}{\mathrm x}\style{font-size:14px}\;\style{font-size:14px}+\style{font-size:14px}\;\style{font-size:14px}4}\style{font-size:14px}\;\style{font-size:14px}-\style{font-size:14px}\;\style{font-size:14px}2\style{font-size:14px}{\mathrm x}\style{font-size:14px}\;\style{font-size:14px}+\style{font-size:14px}1\right)\style{font-size:14px}\;\style{font-size:14px}=\style{font-size:14px}\;\style{font-size:14px}.\style{font-size:14px}.\style{font-size:14px}.\style{font-size:14px}.$

4.3

Jawaban terverifikasi

Nilai dari x → ∞ lim ( 4 x 2 − 8 x + 6 − 4 x 2 + 16 x − 3 ) = .....

4.8

Jawaban terverifikasi

Nilai dari x → ∞ lim ( 81 x 2 − 10 x + 15 − 9 x + 1 ) = ....

4.5

Jawaban terverifikasi

Nilai dari x → ∞ lim x + x + x x = ...

4.2

Jawaban terverifikasi