当(x→1)时(x+1)e^{1/(x-1)}的左右极限分别为
问题描述:
当(x→1)时(x+1)e^{1/(x-1)}的左右极限分别为
答
x→1-,1/(x-1) -> -∞,e^ {1/(x-1)} -> 0 ;
(x+1)e^{1/(x-1)} -> 0
x→1+,1/(x-1) -> +∞,e^ {1/(x-1)} -> +∞;
(x+1)e^{1/(x-1)} -> +∞
左右极限分别为 0; +∞