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Matematika
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1 Jawaban
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1. Jawaban Anonyme
Kelas 11 Matematika
Bab Limit
lim (√x - x)/(√x + x)
x→0
= lim (√x - x)/(√x + x) . (√(x - x)/√(x - x))
...x→0
= lim (x - 2x√x + x²)/(x - x²)
...x→0
= lim (x (1 - 2√x + x))/(x(1 - x))
...x→0
= (1 - 2 √0 + 0)/(1 - 0)
= 1/1
= 1