Roboguru
SD
SMP
SMA
UTBK/SNBT

Iklan

Iklan

Pertanyaan

Nilai

Nilai limit as x rightwards arrow infinity of invisible function application open parentheses open parentheses 3 x minus 1 close parentheses minus square root of 9 x squared end root minus 11 x plus 9 close parentheses equals... 

Ke roboguru plus

Iklan

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari  limit as x rightwards arrow infinity of invisible function application open parentheses open parentheses 3 x minus 1 close parentheses minus square root of 9 x squared end root minus 11 x plus 9 close parentheses adalah negative infinity.

Iklan

Pembahasan

Ingatlah sifat limit berikut: . Selanjutnya, penyelesaian nilai limit tak hingga di atas adalah sebagai berikut: Dengan demikian, nilai dari adalah .

Ingatlah sifat limit berikut:

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank invisible function application end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses g left parenthesis x right parenthesis plus-or-minus f left parenthesis x right parenthesis close parentheses end cell 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 blank blank cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank invisible function application end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank g end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank left parenthesis end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank right parenthesis end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus-or-minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank invisible function application end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank left parenthesis end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank right parenthesis end table.

Selanjutnya, penyelesaian nilai limit tak hingga di atas adalah sebagai berikut:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of invisible function application open parentheses open parentheses 3 x minus 1 close parentheses minus square root of 9 x squared end root minus 11 x plus 9 close parentheses end cell equals cell limit as x rightwards arrow infinity of invisible function application open parentheses 3 x minus 1 minus 3 x minus 11 x plus 9 close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application open parentheses negative 11 x plus 8 close parentheses end cell row blank equals cell limit as x rightwards arrow infinity of invisible function application minus 11 x plus limit as x rightwards arrow infinity of invisible function application 8 end cell row blank equals cell negative limit as x rightwards arrow infinity of invisible function application 11 x plus limit as x rightwards arrow infinity of invisible function application 8 end cell row blank equals cell negative infinity plus 8 end cell row blank equals cell negative infinity. end cell end table 

Dengan demikian, nilai dari  limit as x rightwards arrow infinity of invisible function application open parentheses open parentheses 3 x minus 1 close parentheses minus square root of 9 x squared end root minus 11 x plus 9 close parentheses adalah negative infinity.

Latihan Bab

Konsep Kilat

Limit Fungsi Trigonometri

Limit Tak Hingga

Kekontinuan dan Asimtot

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

420

Iklan

Iklan

Gold Icon

Klaim Gold gratis sekarang!

Dengan Gold kamu bisa tanya soal ke Forum sepuasnya, lho.

Pertanyaan serupa

x → ∞ lim ​ x 2 + 3 x − 3 ​ + x 2 − x − 1 ​ − 4 x 2 + 8 x − 5 ​ = ...

133

4.6

Jawaban terverifikasi

NIlai dari x → ∞ lim ​ 2 x 3 + 3 x 2 + 7 x 2 + 4 adalah ....

1rb+

4.6

Jawaban terverifikasi

Iklan

Iklan

Nilai

199

4.2

Jawaban terverifikasi

NIlai dari x → ∞ lim ​ 2 x 3 + 3 x 2 + 7 x 2 + 4 adalah ....

1rb+

4.6

Jawaban terverifikasi

x → ∞ lim ​ x 2 + 3 x − 3 ​ + x 2 − x − 1 ​ − 4 x 2 + 8 x − 5 ​ = ...

133

4.6

Jawaban terverifikasi
Ruangguru

RUANGGURU HQ

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

Coba GRATIS Aplikasi Roboguru

Download di Google Play

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Bantuan & Panduan

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2023 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia