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题目内容
(甘肃开放大学高等数学)
若函数f(x)={(1+x)^1/x.x<0,x+k,x>=0,在x=0处连续,则k=e.A.对
B.错
<img src="data:image/png;base64,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" >
B.错
<img src="data:image/png;base64,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" >
参考答案