Nilai lim_(x→4) ⁡(x^2-16)/(x-4)=⋯

www.jagostat.com

www.jagostat.com

Website Belajar Matematika & Statistika

Website Belajar Matematika & Statistika

Bahas Soal Matematika   »   Limit   ›  

Nilai \( \displaystyle \lim_{x \to 4} \ \frac{x^2-16}{x-4} = \cdots \)

  1. 16
  2. 8
  3. 4
  4. -4
  5. -8

(UN SMA IPS 2015)

Pembahasan:

\begin{aligned} \lim_{x \to 4} \ \frac{x^2-16}{x-4} &= \lim_{x \to 4} \ \frac{(x-4)(x+4)}{x-4} \\[8pt] &= \lim_{x \to 4} \ (x+4) \\[8pt] &= (4+4) =8 \end{aligned}

Jawaban B.