Roboguru

Nilai

Nilai begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction equals... end style 

Jawaban:

Apabila disubstitusi nilai begin mathsize 14px style x equals 5 end style, maka akan diperoleh bentuk tak tentu. Oleh karena itu, gunakan cara pemfaktoran.

begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction equals limit as x rightwards arrow 5 of fraction numerator open parentheses x minus 5 close parentheses open parentheses x plus 4 close parentheses over denominator open parentheses 2 x minus 3 close parentheses open parentheses x minus 5 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as x rightwards arrow 5 of fraction numerator open parentheses x plus 4 close parentheses over denominator open parentheses 2 x minus 3 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 5 plus 4 over denominator 2 open parentheses 5 close parentheses minus 3 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 9 over 7 end style 

Jadi, nilai dari begin mathsize 14px style limit as x rightwards arrow 5 of fraction numerator x squared minus x minus 20 over denominator 2 x squared minus 13 x plus 15 end fraction equals 9 over 7 end style.

0

Tonton video penjelasan konsepnya

Ruangguru

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