Roboguru

Jika . Carilah setiap limit berikut. b.

Jika undefined. Carilah setiap limit berikut.

b. begin mathsize 14px style limit as x rightwards arrow c of fraction numerator 5 f left parenthesis x right parenthesis minus 4 g left parenthesis x right parenthesis over denominator f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end fraction end style      

  1. ...space 

  2. ...undefined 

Jawaban:

Sifat-sifat limit fungsi aljabar :

1. begin mathsize 14px style limit as x rightwards arrow c of open parentheses f open parentheses x close parentheses plus-or-minus g open parentheses x close parentheses close parentheses equals limit as x rightwards arrow c of f open parentheses x close parentheses plus-or-minus limit as x rightwards arrow c of g open parentheses x close parentheses end style

2. begin mathsize 14px style limit as x rightwards arrow c of k times f open parentheses x close parentheses equals k times limit as x rightwards arrow c of f open parentheses x close parentheses end style

3. begin mathsize 14px style limit as x rightwards arrow c of fraction numerator f open parentheses x close parentheses over denominator g open parentheses x close parentheses end fraction equals fraction numerator limit as x rightwards arrow c of f open parentheses x close parentheses over denominator limit as x rightwards arrow c of g open parentheses x close parentheses end fraction end style , asalkan begin mathsize 14px style limit as x rightwards arrow c of g open parentheses x close parentheses not equal to 0 end style

Dengan menggunakan sifat-sifat limit, diperoleh:

undefined

Dengan demikian, begin mathsize 14px style limit as x rightwards arrow c of fraction numerator 5 f left parenthesis x right parenthesis minus 4 g left parenthesis x right parenthesis over denominator f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end fraction equals negative 31 end style.

0

Ruangguru

RUANGGURU HQ

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

Coba GRATIS Aplikasi Ruangguru

Download di Google Play

Download di Appstore

Produk Ruangguru

Produk Lainnya

  • Brain Academy Online
  • English AcademyBaru
  • Skill Academy
  • Ruangkerja

Bantuan & Panduan

Hubungi Kami

Ruangguru WhatsApp

081578200000

[email protected]

02140008000

Ikuti Kami

©2021 Ruangguru. All Rights Reserved