Roboguru

Tentukan nilai dari soal di bawah ini 2.

Pertanyaan

Tentukan nilai dari soal di bawah ini
2. undefined

  1. ...begin mathsize 14px style space end style 

  2. ...begin mathsize 14px style space end style 

Pembahasan Soal:

begin mathsize 14px style limit as x rightwards arrow 0 of fraction numerator x to the power of 5 plus 6 x to the power of 4 minus x squared over denominator x to the power of 8 plus 7 x to the power of 4 minus 2 x squared end fraction end style akan menghasilkan nilai undefined ketika disubstitusi undefined, sehingga perlu diubah bentuk limitnya dengan faktorisasi

begin mathsize 14px style table attributes columnalign center left columnspacing 2px end attributes row equals cell limit as x rightwards arrow 0 of fraction numerator x to the power of 5 plus 6 x to the power of 4 minus x squared over denominator x to the power of 8 plus 7 x to the power of 4 minus 2 x squared end fraction end cell row equals cell limit as x rightwards arrow 0 of fraction numerator up diagonal strike x squared end strike open parentheses x cubed plus 6 x squared minus 1 close parentheses over denominator up diagonal strike x squared end strike open parentheses x to the power of 6 plus 7 x squared minus 2 close parentheses end fraction end cell row equals cell fraction numerator negative 1 over denominator negative 2 end fraction end cell row equals cell 1 half end cell end table end style

Jadi nilai size 14px lim with size 14px x size 14px rightwards arrow size 14px 0 below fraction numerator size 14px x to the power of size 14px 5 size 14px plus size 14px 6 size 14px x to the power of size 14px 4 size 14px minus size 14px x to the power of size 14px 2 over denominator size 14px x to the power of size 14px 8 size 14px plus size 14px 7 size 14px x to the power of size 14px 4 size 14px minus size 14px 2 size 14px x to the power of size 14px 2 end fraction equals 1 half 

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 11 Februari 2021

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