Roboguru
SD

NIlai x→2lim​−2x2+7x−62−x​=...

Pertanyaan

NIlai limit as x rightwards arrow 2 of fraction numerator 2 minus x over denominator negative 2 x squared plus 7 x minus 6 end fraction equals...

  1. begin mathsize 14px style negative 2 end style

  2. begin mathsize 14px style negative 1 end style

  3. begin mathsize 14px style 0 end style

  4. begin mathsize 14px style 1 half end style

  5. begin mathsize 14px style 1 end style

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Dengan menggunakan metode pemfaktoran diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator 2 minus x over denominator negative 2 x squared plus 7 x minus 6 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator 2 minus x over denominator open parentheses negative 2 x plus 3 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator negative open parentheses x minus 2 close parentheses over denominator open parentheses negative 2 x plus 3 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator negative 1 over denominator open parentheses negative 2 x plus 3 close parentheses end fraction end cell row blank equals cell fraction numerator negative 1 over denominator negative 2 open parentheses 2 close parentheses plus 3 end fraction end cell row blank equals cell fraction numerator negative 1 over denominator negative 4 plus 3 end fraction end cell row blank equals cell fraction numerator negative 1 over denominator negative 1 end fraction end cell row blank equals 1 end table

Dengan demikian hasil dari table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 minus x over denominator negative 2 x squared plus 7 x minus 6 end fraction 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 1 end table.

Oleh karena itu, jawaban yang benar adalah E.

24

0.0 (0 rating)

Pertanyaan serupa

Tentukan nilai limit berikut!  x→9lim​x2−14x+45x+2x​−15​

156

4.8

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