Iklan

Iklan

Pertanyaan

Tentukan nilai x → 5 lim ​ x − 5 x ​ − 5 ​ ​ = ....

Tentukan nilai  

Iklan

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

.

 begin mathsize 14px style limit as x rightwards arrow 5 of space fraction numerator square root of x minus square root of 5 over denominator x minus 5 end fraction equals 1 over 10 square root of 5 end style.

Iklan

Pembahasan

Jadi, .

begin mathsize 14px style limit as x rightwards arrow 5 of space fraction numerator square root of x minus square root of 5 over denominator x minus 5 end fraction equals limit as x rightwards arrow 5 of space fraction numerator square root of x minus square root of 5 over denominator x minus 5 end fraction times fraction numerator square root of x plus square root of 5 over denominator square root of x plus square root of 5 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 equals limit as x rightwards arrow 5 of space fraction numerator x minus 5 over denominator open parentheses x minus 5 close parentheses open parentheses square root of x plus square root of 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 equals limit as x rightwards arrow 5 of space fraction numerator 1 over denominator square root of x plus square root of 5 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 equals fraction numerator 1 over denominator square root of 5 plus square root of 5 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 equals fraction numerator 1 over denominator 2 square root of 5 end fraction times fraction numerator square root of 5 over denominator square root of 5 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 equals fraction numerator square root of 5 over denominator 2 times 5 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 equals fraction numerator square root of 5 over denominator 10 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 equals 1 over 10 square root of 5 end style 

Jadi, begin mathsize 14px style limit as x rightwards arrow 5 of space fraction numerator square root of x minus square root of 5 over denominator x minus 5 end fraction equals 1 over 10 square root of 5 end style.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

92

ratri afiza azfa

Makasih ❤️

Iklan

Iklan

Pertanyaan serupa

Nilai x → p lim ​ x ​ − p ​ x x ​ − p p ​ ​ = ...

99

5.0

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2023 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia