Pertanyaan

Hitunglah limit fungsi berikut! d. x → 7 lim x − 7 x − 7

Hitunglah limit fungsi berikut!

d. $x \to 7 lim \frac{x - 7}{x - 7}$

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

nilai adalah .

nilai $size 14px lim with size 14px x size 14px rightwards arrow size 14px 7 below fraction numerator size 14px x size 14px minus size 14px 7 over denominator square root of size 14px x size 14px minus square root of size 14px 7 end fraction$ adalah

Pembahasan

disubtitusikan pada limit tersebut Karena menghasilkan limit bentuk tak tentu, maka akan ditentukan dengan metode pemfaktoran Jadi, nilai adalah .

disubtitusikan pada limit tersebut

$size 14px lim with size 14px x size 14px rightwards arrow size 14px 7 below fraction numerator size 14px x size 14px minus size 14px 7 over denominator square root of size 14px x size 14px minus square root of size 14px 7 end fraction size 14px equals fraction numerator size 14px 7 size 14px minus size 14px 7 over denominator square root of size 14px 7 size 14px minus square root of size 14px 7 end fraction size 14px equals size 14px 0 over size 14px 0$

Karena menghasilkan limit bentuk tak tentu, maka akan ditentukan dengan metode pemfaktoran

$table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 7 below fraction numerator size 14px x size 14px minus size 14px 7 over denominator square root of size 14px x size 14px minus square root of size 14px 7 end fraction end cell size 14px equals cell fraction numerator begin mathsize 14px style left parenthesis up diagonal strike square root of x minus square root of 7 end strike right parenthesis left parenthesis square root of x plus square root of 7 right parenthesis end style over denominator up diagonal strike begin mathsize 14px style left parenthesis square root of x minus square root of 7 right parenthesis end style end strike end fraction end cell row cell size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space end cell size 14px equals cell square root of size 14px 7 size 14px plus square root of size 14px 7 end cell row cell size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space end cell size 14px equals cell size 14px 2 square root of size 14px 7 end cell end table$

Jadi, nilai $size 14px lim with size 14px x size 14px rightwards arrow size 14px 7 below fraction numerator size 14px x size 14px minus size 14px 7 over denominator square root of size 14px x size 14px minus square root of size 14px 7 end fraction$ adalah .