Jika a tidak sama dengan 0, maka lim x → a ^3 √x - ^3 √a / x - a =
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ganishfadillah
Pertanyaan
Jika a tidak sama dengan 0, maka
lim x → a ^3 √x - ^3 √a / x - a =
lim x → a ^3 √x - ^3 √a / x - a =
1 Jawaban
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1. Jawaban Dwin47
lim x -> a (x^(1/3) - a^(1/3))/(x-a)
= lim x -> a (x^(1/3) - a^(1/3))/[(x^(1/3) - a^(1/3)) (x^(2/3) + x^(1/3).a^(1/3) + a^(2/3))]
= lim x -> a 1/((x^(2/3) + x^(1/3).a^(1/3) + a^(2/3))
= 1/((a^(2/3) + a^(1/3).a^(1/3) + a^(2/3))
= 1/3.a^(2/3)
= 1/(3 ^3V(a^2))