Roboguru

x→∞lim​6x−33x2+2​=....

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow infinity of fraction numerator 3 x squared plus 2 over denominator 6 x minus 3 end fraction equals.... end style  

Pembahasan Video:

Pembahasan Soal:

Untuk menentukan limit di atas dapat menggunakan konsep limit tak hinggga bentuk fungsi rasional, yaitu dengan membagi pembilang dan penyebut dengan variabel yang memiliki pangkat tertinggi di penyebut 

P e n y e b u t space p a d a space s o a l space equals space 6 x minus 3 comma space m a k a space v a r i a b e l space y a n g space m e m i l i k i space p a n g k a t space t e r t i n g g i space a d a l a h space x

Sehingga :

limit as x rightwards arrow infinity of fraction numerator 3 x squared plus 2 over denominator 6 x minus 3 end fraction times fraction numerator begin display style 1 over x end style over denominator begin display style 1 over x end style end fraction equals limit as x rightwards arrow infinity of fraction numerator 3 x plus begin display style 2 over x end style over denominator 6 minus begin display style 3 over x end style end fraction space space space space space space space space space space space space table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell bold lim with bold x bold rightwards arrow bold infinity below end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell bold C over bold x to the power of bold n end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank bold equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold semicolon end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold italic n end table table attributes columnalign right center left columnspacing 0px end attributes row blank bold greater than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank bold space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table 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 table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 x over denominator begin display style 6 end style end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table space space space space space space space space space space space space space space space space space space space space space space space table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank infinity end table

Jadi, nilai limit di atas adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank infinity end table

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

N. Puspita

Terakhir diupdate 07 Oktober 2021

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