题目：
计算：
|
答案：
lim n→∞
=|2+i|n+1-|1+i|n |2+i|n+|1+i|n+1 lim n→∞
=(
)n+1- (5
)n2 (
)n+(5
)n+12 lim n→∞
=
- (5
)n 2 5 1+
×(2
)n2 5 5
故答案为5
计算：
|
lim n→∞
=|2+i|n+1-|1+i|n |2+i|n+|1+i|n+1 lim n→∞
=(
)n+1- (5
)n2 (
)n+(5
)n+12 lim n→∞
=
- (5
)n 2 5 1+
×(2
)n2 5 5
故答案为5
