RoboguruRoboguru
SD

Tentukan nilai dari ​​limx→1​x2−x−22x2−3x−1​​!

Pertanyaan

Tentukan nilai dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 1 of fraction numerator 2 x squared minus 3 x minus 1 over denominator x squared minus x minus 2 end fraction end cell end table end style!

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 1 of fraction numerator 2 x squared minus 3 x minus 1 over denominator x squared minus x minus 2 end fraction end cell end table end stylebegin mathsize 14px style equals 1 end style.

Pembahasan

Nilai limit berikut adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of fraction numerator 2 x squared minus 3 x minus 1 over denominator x squared minus x minus 2 end fraction end cell equals cell fraction numerator 2 open parentheses 1 close parentheses squared minus 3 open parentheses 1 close parentheses minus 1 over denominator open parentheses 1 close parentheses squared minus open parentheses 1 close parentheses minus 2 end fraction end cell row blank equals cell fraction numerator 2 minus 3 minus 1 over denominator 1 minus 1 minus 2 end fraction end cell row blank equals cell fraction numerator negative 2 over denominator negative 2 end fraction end cell row blank equals 1 end table end style

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 1 of fraction numerator 2 x squared minus 3 x minus 1 over denominator x squared minus x minus 2 end fraction end cell end table end stylebegin mathsize 14px style equals 1 end style.

68

3.0 (1 rating)

Risa thalia 54

Pembahasan lengkap banget

Pertanyaan serupa

x→3lim​(3x−5)3=...

28

0.0

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

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