Why is LIM (x - > infinity) (1-2 / x) ^ (- 1) equal to 1

Why is LIM (x - > infinity) (1-2 / x) ^ (- 1) equal to 1

One of the two important limits Lim X - > infinity (1 + 1 / x) ^ x = e is used
LIM (x - > infinity) (1-2 / x) ^ (- 1)
=LIM (x - > infinity) (1 + (- 2 / x)) ^ ((- X / 2) (- 2 / x) (- 1))
=LIM (x - > infinity) (1 + (- 2 / x)) ^ (- X / 2) (2 / x)
=LIM (x - > infinity) e ^ (2 / x)
=1