Lim x>0 5x / 3 - akar(9+x)
Matematika
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Pertanyaan
Lim x>0 5x / 3 - akar(9+x)
1 Jawaban
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1. Jawaban DB45
limt bentuk 0/0
lim(x->0) (5x) / (3 - √(9+x)) =
lim(x->0) (5x)(3 + √(9+x) / (3 - √(9+x))(3+√(9+x))
lim(x->0) (5x)(3+√(9+x) / (9 - 9 - x)
lim (->0) = 5 x (3 +√(9+x) / (-x)
lim(x->0) 5 (3 + √(9+x)) / (-1)
= 5(3+√9) / -1
= 5(3+3) / -1
= 5(6) / -1
= - 30