Nilai x→∞lim​ 4x2+2x−155x2−22x+21​=…

Pertanyaan

Nilai limit as x rightwards arrow infinity of space fraction numerator 5 x squared minus 22 x plus 21 over denominator 4 x squared plus 2 x minus 15 end fraction equals horizontal ellipsis  

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari limit di atas adalah 5 over 4.

Pembahasan

Bentuk limit di atas dapat diselesaikan dengan cara membagi setiap variabel dengan pangkat yang tertinggi.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of space fraction numerator 5 x squared minus 22 x plus 21 over denominator 4 x squared plus 2 x minus 15 end fraction times fraction numerator begin display style 1 over x squared end style over denominator begin display style 1 over x squared end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of space fraction numerator begin display style fraction numerator 5 x squared over denominator x squared end fraction end style minus begin display style fraction numerator 22 x over denominator x squared end fraction end style plus begin display style 21 over x squared end style over denominator begin display style fraction numerator 4 x squared over denominator x squared end fraction end style plus begin display style fraction numerator 2 x over denominator x squared end fraction end style minus begin display style 15 over x squared end style end fraction end cell row blank equals cell limit as x rightwards arrow infinity of space fraction numerator begin display style 5 minus 22 over x plus 21 over x squared end style over denominator begin display style 4 plus 2 over x minus 15 over x squared end style end fraction end cell row blank equals cell fraction numerator 5 minus 0 plus 0 over denominator 4 plus 0 minus 0 end fraction end cell row blank equals cell 5 over 4 end cell end table   

Jadi, hasil dari limit di atas adalah 5 over 4.

50

5.0 (1 rating)

Pertanyaan serupa

x→∞lim​(2+x)(3−x)(2+4x)(2−x)​=…

66

4.5

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

Produk Lainnya

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