问题 填空题
lim
n→∞
(1-
2
n
)n
=______.
答案

lim
n→∞
(1-
2
n
)n=(
lim
-
n
2
→∞
(1+
1
-
n
2
)
-
n
2
)
-2

lim
x→∞
(1+
1
x
)
x
=e

lim
n→∞
(1-
2
n
)n=(
lim
-
n
2
→∞
(1+
1
-
n
2
)
-
n
2
)
-2
=e-2

故答案为e-2

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