Roboguru

begin mathsize 14px style limit as x rightwards arrow infinity of square root of 9 x squared plus 12 x end root minus 3 x plus 5 equals end style  

Jawaban:

begin mathsize 14px style limit as x rightwards arrow infinity of square root of 9 x squared plus 12 x end root minus 3 x plus 5 equals limit as x rightwards arrow infinity of square root of 9 x squared plus 12 x end root minus left parenthesis 3 x minus 5 right parenthesis equals limit as x rightwards arrow infinity of square root of 9 x squared plus 12 x end root minus square root of left parenthesis 3 x minus 5 right parenthesis squared end root equals limit as x rightwards arrow infinity of square root of 9 x squared plus 12 x end root minus square root of 9 x squared minus 30 x plus 25 end root end style 

Dengan menggunakan rumus cepat

begin mathsize 14px style limit as straight x rightwards arrow infinity of square root of ax squared plus bx plus straight c end root minus square root of px squared plus qx plus straight r end root straight a equals straight p rightwards double arrow fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of square root of 9 x squared plus 12 x end root minus square root of 9 x squared minus 30 x plus 25 end root end cell row blank equals cell fraction numerator b minus q over denominator 2 square root of a end fraction end cell row blank equals cell fraction numerator 12 minus open parentheses negative 30 close parentheses over denominator 2 square root of 9 end fraction end cell row blank equals cell fraction numerator 12 plus 30 over denominator 2 times open parentheses 3 close parentheses end fraction end cell row blank equals cell 42 over 6 end cell row blank equals 7 end table end style 

0

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