Find the following limit, Lim e ^ (1 / 2x), X → 0 Please give the specific steps,

Find the following limit, Lim e ^ (1 / 2x), X → 0 Please give the specific steps,

lim （x→0）e^(1/2x)
=e^[lim （x→0）(1/2x)]
Because LIM (x → 0) (1 / 2x) approaches infinity
1. When LIM (x → 0 -) (1 / 2x) approaches negative infinity
Then e ^ [LIM (x → 0) (1 / 2x)] = 0
2. When LIM (x → 0 +) (1 / 2x) approaches positive infinity
At this time, e ^ [LIM (x → 0) (1 / 2x)] also approaches positive infinity
The left and right limits are not equal, so the limit does not exist!
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