Pertanyaan

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

Nilai dari $x \to \infty lim (81 x^{2} - 10 x + 15 - 9 x + 1) = ....$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai limitnya adalah

nilai limitnya adalah 4 over 9

Pembahasan

Diperhatikan bahwa Maka Jadi, nilai limitnya adalah

Diperhatikan bahwa

$limit as x rightwards arrow infinity of open parentheses square root of a x squared plus b x plus c end root minus square root of p x squared plus q x plus r end root close parentheses equals open curly brackets table attributes columnalign left end attributes row cell table row cell infinity comma space space jika space a greater than p end cell row cell fraction numerator b minus q over denominator 2 square root of a end fraction comma space jika space a equals p end cell end table end cell row cell negative infinity comma space jika space a less than p end cell end table close$

Maka

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of open parentheses square root of 81 x squared minus 10 x plus 15 end root minus 9 x plus 1 close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses square root of 81 x squared minus 10 x plus 15 end root minus open parentheses 9 x minus 1 close parentheses close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses square root of 81 x squared minus 10 x plus 15 end root minus square root of open parentheses 9 x minus 1 close parentheses squared end root close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses square root of 81 x squared minus 10 x plus 15 end root minus square root of 81 x squared minus 18 x plus 1 end root close parentheses end cell row blank equals cell fraction numerator negative 10 minus left parenthesis negative 18 right parenthesis over denominator 2 square root of 81 end fraction end cell row blank equals cell 8 over 18 end cell row blank equals cell 4 over 9 end cell end table$

Jadi, nilai limitnya adalah 4 over 9

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

4.5 (4 rating)

Laeli Lutfiyah

Makasih ❤️ Mudah dimengerti

Anime

Pembahasan lengkap banget Mudah dimengerti

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 x + x + x x = ...

4.2

Jawaban terverifikasi

x → ∞ lim ( 4 x 2 + 3 x + 1 − 4 x 2 + 2 x ) = …

4.8

Jawaban terverifikasi