\lim_{n \to \2} {2/x-2}-{8 x^{2} -4}
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Pertanyaan
\lim_{n \to \2} {2/x-2}-{8 x^{2} -4}
1 Jawaban
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1. Jawaban acim
lim x->2 2/(x-2) - 8/(x² - 4)
= lim x->2 2(x+2)/(x²-4) - 8/(x² - 4)
= lim x->2 (2x+4)/(x² - 4) - 8/(x² - 4)
= lim x->2 (2x + 4 - 8)/(x² - 4)
= lim x->2 (2x - 4)/(x² - 4)
= lim x->2 2(x - 2) / (x-2)(x+2)
= lim x->2 2/(x+2)
= 2/(2+2)
= 2/4
= 1/2