Pertanyaan

Tentukan nilai limit fungsi berikut. a. x → 2 lim x − 2 x 2 − 4

Tentukan nilai limit fungsi berikut.

a. $x \to 2 lim \frac{x ^{2} - 4}{x - 2}$

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai .

nilai $begin mathsize 14px style limit as x rightwards arrow 2 of fraction numerator x squared minus 4 over denominator x minus 2 end fraction equals 4 end style$ .

Pembahasan

Dengan menggunakan metode pemfaktoran. Jadi, nilai .

Dengan menggunakan metode pemfaktoran.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator x squared minus 4 over denominator x minus 2 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses x plus 2 close parentheses up diagonal strike open parentheses x minus 2 close parentheses end strike over denominator up diagonal strike x minus 2 end strike end fraction end cell row blank equals cell limit as x rightwards arrow 2 of space x plus 2 end cell row blank equals cell 2 plus 2 end cell row blank equals 4 end table end style$

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