Pertanyaan

Tentukan nilai limit berikut. x → − 3 lim ​ 3 x 2 + 3 x − 18 2 x 2 − x − 21 ​

Tentukan nilai limit berikut.

 

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

.

 limit as x rightwards arrow thin space minus 3 of open parentheses fraction numerator 2 x squared minus x minus 21 over denominator 3 x plus 3 x minus 18 end fraction close parentheses equals 0.

Pembahasan

Mencari nilai limit: Jadi, .

Mencari nilai limit:

limit as x rightwards arrow thin space minus 3 of open parentheses fraction numerator 2 x squared minus x minus 21 over denominator 3 x plus 3 x minus 18 end fraction close parentheses equals fraction numerator 2 open parentheses negative 3 close parentheses squared minus open parentheses negative 3 close parentheses minus 21 over denominator 3 open parentheses negative 3 close parentheses plus 3 open parentheses negative 3 close parentheses minus 18 end fraction equals fraction numerator 2 times 9 minus open parentheses negative 3 close parentheses minus 21 over denominator negative 9 minus 9 minus 18 end fraction equals fraction numerator 18 minus open parentheses negative 3 close parentheses minus 21 over denominator negative 36 end fraction equals fraction numerator 0 over denominator negative 36 end fraction equals 0 

Jadi, limit as x rightwards arrow thin space minus 3 of open parentheses fraction numerator 2 x squared minus x minus 21 over denominator 3 x plus 3 x minus 18 end fraction close parentheses equals 0.

17

Iklan

Pertanyaan serupa

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

43

0.0

Jawaban terverifikasi

Iklan

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

Fitur Roboguru

Topik Roboguru

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