问题 填空题
lim
x→-∞
(
x2-x+1
-x+k)
=1,则k=______.
答案

lim
x→-∞
(
x2-x+1
-x+k)=1,

lim
x→-∞
(
x2-x+1
-x+k)

=

lim
x→-∞
(
x2-x+1
-x+k)(
x2-x+1
+x-k) 
x2-x+1
+x-k

=

lim
x→-∞
(2k-1)x+1-k2
x2-x+1
+x-k

=

2k-1
2
=1,

k=

3
2

故答案为

3
2

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