Roboguru

Nilai  adalah

Pertanyaan

Nilai begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator 5 x squared plus 10 x over denominator 3 x plus 6 end fraction end style adalah undefined

  1. undefined

  2. undefined

Pembahasan Soal:

Jika kita menghitung nilai begin mathsize 14px style limit as x rightwards arrow negative 2 of fraction numerator 5 x squared plus 10 x over denominator 3 x plus 6 end fraction end style dengan cara substitusi langsung, maka kita akan memperoleh bentuk tak tentu begin mathsize 14px style 0 over 0 end style. Oleh karena itu, limit fungsi tersebut hendaknya diselesaikan dengan cara pemfaktoran, yaitu

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of fraction numerator 5 x squared plus 10 x over denominator 3 x plus 6 end fraction end cell equals cell limit as x rightwards arrow negative 2 of fraction numerator 5 x up diagonal strike open parentheses x plus 2 close parentheses end strike over denominator 3 up diagonal strike open parentheses x plus 2 close parentheses end strike end fraction end cell row blank equals cell limit as x rightwards arrow negative 2 of fraction numerator 5 x over denominator 3 end fraction end cell row blank equals cell fraction numerator 5 open parentheses negative 2 close parentheses over denominator 3 end fraction end cell row blank equals cell negative 10 over 3 end cell end table end style

Jadi, begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow negative 2 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 x squared plus 10 x over denominator 3 x plus 6 end fraction end cell end table equals negative 10 over 3 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 15 Maret 2021

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