2.12.20 Asymptotic Analysis

Condition: write an asymptotic formula for this \ (f (x) \) for \ (x \ rightarrow a \), and the response should be at least two members of the asymptotic formula, not counting the residue. \ [f (x) = \ left (\ frac {2^{x} +1} {2} \ right)^{1 / \ sin x}, \ quad X \ Rightarrow 0 \]