当x趋向于1时,f(x)=(x^2-1)/(x-1)*e^1/(x-1)的极限=?

问题描述:

当x趋向于1时,f(x)=(x^2-1)/(x-1)*e^1/(x-1)的极限=?

楼上计算错了吧!
f(x)=(x+1)e^[-1/(x-1)]
x为1(-)时limf(x)=无穷大
x=1(+)时limf(x)=0
所以limf(x)不存在