问题
填空题
|
答案
lim n→∞
(1＜|a|＜|b|)1+a+a2+a3+…+an-1 1+b+b2+b3+…+bn-1
=lim n→∞
+1 bn-1
+a bn-1
+…+(a2 bn-1
)n-1a b
+1 bn-1
+1 bn-2
+… +11 bn-3
=0．
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|
lim n→∞
(1＜|a|＜|b|)1+a+a2+a3+…+an-1 1+b+b2+b3+…+bn-1
=lim n→∞
+1 bn-1
+a bn-1
+…+(a2 bn-1
)n-1a b
+1 bn-1
+1 bn-2
+… +11 bn-3
=0．