Iklan

Pertanyaan

Hasil dari x → ∞ lim ​ ⎝ ⎛ ​ 3 + 3 + 3 + x 3 ​ 3 ​ 3 ​ ⎠ ⎞ ​ adalah....

Hasil dari  adalah....

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

01

:

14

:

03

:

45

Klaim

Iklan

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari .

hasil dari limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator 3 plus begin display style 3 over x end style end fraction end style end fraction close parentheses equals 15 over 4.

Pembahasan

Pembahasan
lock

Dengan menggunakan konsep limit menuju tak hingga diperoleh ingat bahwa maka Dengan demikian hasil dari .

Dengan menggunakan konsep limit menuju tak hingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator 3 plus begin display style 3 over x end style end fraction end style end fraction close parentheses end cell equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator begin display style fraction numerator 3 x plus 3 over denominator x end fraction end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 x over denominator begin display style 3 x plus 3 end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator begin display style fraction numerator 9 x plus 9 plus 3 x over denominator begin display style 3 x plus 3 end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator begin display style fraction numerator 12 x plus 9 over denominator begin display style 3 x plus 3 end style end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 open parentheses 3 x plus 3 close parentheses over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 9 x plus 9 over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 9 x plus 9 over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator 36 x plus 27 plus 9 x plus 9 over denominator begin display style 12 x plus 9 end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator 45 x plus 36 over denominator begin display style 12 x plus 9 end style end fraction close parentheses times fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator begin display style fraction numerator 45 x over denominator x end fraction end style plus begin display style 36 over x end style over denominator begin display style fraction numerator begin display style 12 x end style over denominator x end fraction plus fraction numerator begin display style 9 end style over denominator x end fraction end style end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of open parentheses fraction numerator begin display style 45 plus 36 over x end style over denominator begin display style 12 plus fraction numerator begin display style 9 end style over denominator x end fraction end style end fraction close parentheses end cell end table 

ingat bahwa limit as x rightwards arrow infinity of a over x to the power of n equals 0 maka

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of open parentheses fraction numerator begin display style 45 plus 36 over x end style over denominator begin display style 12 plus fraction numerator begin display style 9 end style over denominator x end fraction end style end fraction close parentheses end cell equals cell fraction numerator 45 plus 0 over denominator 12 plus 0 end fraction end cell row blank equals cell 45 over 12 end cell row blank equals cell 15 over 4 end cell end table 

Dengan demikian hasil dari limit as x rightwards arrow infinity of open parentheses 3 plus fraction numerator 3 over denominator 3 plus begin display style fraction numerator 3 over denominator 3 plus begin display style 3 over x end style end fraction end style end fraction close parentheses equals 15 over 4.

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

1

Nabiilah Naja Zhafir Ajna

Mudah dimengerti

Iklan

Pertanyaan serupa

x → ∞ lim ​ 2 x + 3 ​ − x − 2 ​ 2 x − 1 ​ + x + 1 ​ ​ = …

2

5.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2025 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia