1. Limit Question

I am trying to find the left hand limit of the following equation

lim (1/√2)^tan(x)

as x approaches (pi/2) from the left side.

I do not know how to solve this problem can I replace tan(x) for t and solve as if the limit was approaching infinity? If anyone could lead me in the right direction I would greatly appreciate it. Thanks

2. Think of it logically. As tan(x) approaches (pi/2), what happens?

3. the exponent approaches infinity
now look at this as (1/root(2))^n
where n approaches infinity

the value inside the bracket is smaller than one
so this converges to 0

4. thanks for the help!