问题
选择题
若f(x)在x=0处连续,且x≠0时,f(x)=
|
答案
由题意可得,
f(x)=f(0)lim x→0
∵
f(x)=lim x→0 lim x→0
=
-11+x
-13 1-x lim x→0 (
-1)(1+x
+1)1+x (
-1)(3 1-x
+1)1+x
=lim x→0 x (
-1)(3 1-x
+1)1+x
=lim x→0
•x(
+3 (1-x)2
+ 1)3 1-x 1-x-1 1
+11+x
=lim x→0 -(
+3 (1-x)2
+1)3 1-x 1+ 1+x
=-3 2
故选A