jika lim x mendekati 0 g(x)/x=2 maka lim x mendekati 0 g(x)/akar1-x-1=
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jika lim x mendekati 0 g(x)/x=2 maka lim x mendekati 0 g(x)/akar1-x-1=
1 Jawaban
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1. Jawaban DB45
limit bentuk 0/0
lim(x->0) g(x) /x = 2 --> g(x)= 2x
lim (x->0 ) g(x) / √(1-x) - 1 =
= lim (x->0) 2x . {√(1-x) +1} /{√(1-x) -1 }{√(1-x) + 1)
= lim (x->0) 2x . {√(1-x) + 1} / (1-x - 1)
= lim (x->0) 2x {√(1-x)+ 1} /(-x)
= lim (x->0) - 2 {√(1-x) + 1 }
x = 0 --> lim = -2 {√1 +1 } = -4