Roboguru
SD

Nilai x→−2lim​x+2x3+8​ adalah ...

Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator x cubed plus 8 over denominator x plus 2 end fraction end style adalah ...

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

nilai begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator x cubed minus 8 over denominator x plus 2 end fraction end style adalah 12.

Pembahasan

Kita subtitusikan begin mathsize 14px style x equals negative 2 end style ke limit tesebut

begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator x cubed plus 8 over denominator x plus 2 end fraction equals fraction numerator open parentheses negative 2 close parentheses cubed plus 8 over denominator negative 2 plus 2 end fraction equals 0 over 0 end style 

Karena menghasilkan limit tak tentu, maka nilai limit bisa ditentukan dengan metode pemfaktoran sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of fraction numerator x cubed plus 8 over denominator x plus 2 end fraction end cell equals cell limit as x rightwards arrow negative 2 of fraction numerator up diagonal strike open parentheses x plus 2 close parentheses end strike open parentheses x squared minus 2 x plus 4 close parentheses over denominator up diagonal strike open parentheses x plus 2 close parentheses end strike end fraction end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals cell open parentheses negative 2 close parentheses squared minus 2 open parentheses negative 2 close parentheses plus 4 end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals cell 4 plus 4 plus 4 end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals 12 end table end style   

Jadi, nilai begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator x cubed minus 8 over denominator x plus 2 end fraction end style adalah 12.

122

5.0 (6 rating)

Pertanyaan serupa

Nilai x→9lim​x​−3x2−7x−18​ adalah ...

120

4.5

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

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia