kak tolong ini, xi ips
Matematika
lulufathiyah
Pertanyaan
kak tolong ini, xi ips
1 Jawaban
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1. Jawaban whongaliem
[tex] \lim_{x \to \ 2} \frac{10}{ x^{2} + x - 6} - \frac{8}{x^{2} - 4} = \lim_{x \to \ 2} \frac{10}{(x - 2)(x + 3)} - \frac{8}{(x - 2)(x + 2)} [/tex]
[tex]= \lim_{x \to \ 2} \frac{10 (x + 2) - 8 (x + 3)}{(x - 2)(x + 2)(x + 3)} [/tex]
[tex]= \lim_{x \to \ 2} \frac{10x + 20 - 8x - 24}{(x - 2)(x + 2)(x + 3)} [/tex]
[tex]= \lim_{x \to \ 2} \frac{2x - 4}{(x - 2)(x + 2)(x + 3)} [/tex]
[tex]= \lim_{x \to \ 2} \frac{2 (x - 2)}{(x - 2)(x + 2)(x + 3)} [/tex]
[tex]= \lim_{x \to \ 2} \frac{2}{(x + 2)(x + 3)} [/tex]
[tex]= \frac{2}{(2 + 2)(2 + 3)} [/tex]
[tex]= \frac{2}{(4)(5)} [/tex]
[tex]= \frac{2}{20} [/tex]
[tex]= \frac{1}{10} [/tex]
= 0,1 .... jawaban : B