lim (x/(x+1))^x X=>~
Matematika
PLAT1NUM1
Pertanyaan
lim (x/(x+1))^x
X=>~
X=>~
1 Jawaban
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1. Jawaban LOVEJOY
Limit Fungsi
lim [x / (x + 1)]^x
x → ∞
= lim [(x + 1 - 1) / (x + 1)]
x → ∞
= lim [1 - (1 / (x + 1))]^x
x → ∞
= lim [(1 - (1 / (x + 1))^(x + 1)]^x / -(x + 1)
= e^-1
= 1/e