Roboguru

Diketahui  dan . Nilai limit berikut yang benar adalah...

Pertanyaan

Diketahui begin mathsize 14px style limit as x rightwards arrow a of f open parentheses x close parentheses equals 12 end style dan begin mathsize 14px style limit as x rightwards arrow a of g open parentheses x close parentheses equals 2 end style.

Nilai limit berikut yang benar adalah...

  1. begin mathsize 14px style limit as x rightwards arrow a of open square brackets g open parentheses x close parentheses minus f open parentheses x close parentheses close square brackets equals 10 end style

  2. begin mathsize 14px style limit as x rightwards arrow a of open square brackets fraction numerator 4 cross times g open parentheses x close parentheses over denominator f open parentheses x close parentheses end fraction close square brackets equals 1 third end style

  3. begin mathsize 14px style limit as x rightwards arrow a of open square brackets g open parentheses x close parentheses squared close square brackets equals 144 end style

  4. begin mathsize 14px style limit as x rightwards arrow a of open square brackets f open parentheses x close parentheses squared minus 4 g open parentheses x close parentheses close square brackets equals 140 end style

  5. begin mathsize 14px style limit as x rightwards arrow a of open square brackets f left parenthesis x right parenthesis squared minus g open parentheses x close parentheses squared close square brackets equals 140 end style

Pembahasan Soal:

Dengan menggunakan konsep dasar limit dan sifat-sifat limit diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow a of left square bracket f open parentheses x close parentheses squared minus g open parentheses x close parentheses squared right square bracket end cell equals cell limit as x rightwards arrow a of f open parentheses x close parentheses squared minus limit as x rightwards arrow a of g open parentheses x close parentheses squared end cell row blank equals cell open parentheses limit as x rightwards arrow a of f left parenthesis x right parenthesis close parentheses squared minus space open parentheses limit as x rightwards arrow a of g open parentheses x close parentheses close parentheses squared end cell row blank equals cell 12 squared minus 2 squared end cell row blank equals cell 144 minus 4 end cell row blank equals 140 end table end style

Oleh karena itu, jawaban yang benar adalah E.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 14 Maret 2021

RUANGGURU HQ

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

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved