Pertanyaan

Hitunglah hasil dari x → 4 lim x − 4 x − 2 .

Hitunglah hasil dari $x \to 4 lim \frac{x - 2}{x - 4}$ .

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

J. Joko

Master Teacher

Jawaban terverifikasi

Jawaban

, .

, $begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction equals 1 fourth end style$ .

Pembahasan

Substitusi = 0 Karena bentuk tak tentu, maka dikali sekawan dahulu Jadi , .

Substitusi = 0

Karena bentuk tak tentu, maka dikali sekawan dahulu

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction end cell equals cell limit as x rightwards arrow 4 of open parentheses fraction numerator square root of x minus 2 over denominator x minus 4 end fraction times fraction numerator square root of x plus 2 over denominator square root of x plus 2 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator x minus 4 over denominator left parenthesis x minus 4 right parenthesis left parenthesis square root of x plus 2 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator 1 over denominator square root of x plus 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 4 plus 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator 2 plus 2 end fraction end cell row blank equals cell 1 fourth end cell end table end style$

Jadi, $begin mathsize 14px style limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction equals 1 fourth end style$ .