Roboguru

Pertanyaan

Tentukan nilai dari limit as x rightwards arrow infinity of 1 plus fraction numerator x over denominator square root of x squared minus 2 x end root end fraction.

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Limit tak hingga

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

Jadi, nilai dari limit as x rightwards arrow infinity of 1 plus fraction numerator x over denominator square root of x squared minus 2 x end root end fraction equals 2.

13

0.0 (0 rating)

Pertanyaan serupa

x→∞lim​(x+6x​​−x−2x​​)

30

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 Ruangguru

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