1, and the right side tends to 1, indicating that x is greater than 1. Therefore, although x- 1 tends to 0, but it is greater than 0, then 1/(x- 1) tends to positive infinity. According to the image of exponential function, e +∞ = +∞
2. The left side tends to 1, indicating that x is less than 1. Therefore, although x- 1 tends to 0, but less than 0, then 1/(x- 1) tends to negative infinity. According to the image of exponential function, e-∞ = 0.
The image of the exponential function is as follows. Because e> 1, the attribute of the red circle below is used.