Iklan

Iklan

Pertanyaan

Hitunglah! 1. x → ∞ lim ​ 4 x 4 + 3 x + 2 3 x 5 + 2 x − 1 ​ = ...

Hitunglah!

1.  

Iklan

R. Subakti

Master Teacher

Mahasiswa/Alumni Universitas Indonesia

Jawaban terverifikasi

Jawaban

  table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 5 plus 2 x minus 1 over denominator 4 x to the power of 4 plus 3 x plus 2 end fraction end cell equals infinity end table

Iklan

Pembahasan

Ingat: . Jadi

Ingat: limit as x rightwards arrow infinity of k over x to the power of n equals k over infinity to the power of n equals 0.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 5 plus 2 x minus 1 over denominator 4 x to the power of 4 plus 3 x plus 2 end fraction end cell equals cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 5 plus 2 x minus 1 over denominator 4 x to the power of 4 plus 3 x plus 2 end fraction cross times fraction numerator begin display style 1 over x to the power of 5 end style over denominator begin display style 1 over x to the power of 5 end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 3 x to the power of 5 over denominator x to the power of 5 end fraction end style plus begin display style fraction numerator 2 x over denominator x to the power of 5 end fraction end style minus begin display style 1 over x to the power of 5 end style over denominator begin display style fraction numerator 4 x to the power of 4 over denominator x to the power of 5 end fraction end style plus begin display style fraction numerator 3 x over denominator x to the power of 5 end fraction end style plus begin display style 2 over x to the power of 5 end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style 3 plus 2 over x to the power of 4 minus 1 over x to the power of 5 end style over denominator begin display style 4 over x plus 3 over x to the power of 4 plus 2 over x to the power of 5 end style end fraction end cell row blank equals cell fraction numerator begin display style 3 plus 2 over infinity to the power of 4 minus 1 over infinity to the power of 5 end style over denominator begin display style 4 over infinity plus 3 over infinity to the power of 4 plus 2 over infinity to the power of 5 end style end fraction end cell row blank equals cell fraction numerator 3 plus 0 minus 0 over denominator 0 plus 0 plus 0 end fraction end cell row blank equals infinity end table

Jadi  table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow infinity of fraction numerator 3 x to the power of 5 plus 2 x minus 1 over denominator 4 x to the power of 4 plus 3 x plus 2 end fraction end cell equals infinity end table

Latihan Bab

Konsep Kilat

Limit Fungsi Trigonometri

Limit Tak Hingga

Kekontinuan dan Asimtot

84

Iklan

Iklan

Pertanyaan serupa

x → ∞ lim ​ 2 x + 3 ​ − x − 2 ​ 2 x − 1 ​ + x + 1 ​ ​ = …

183

5.0

Jawaban terverifikasi

Iklan

Iklan

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

Fitur Roboguru

Topik Roboguru

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