Evaluate $\lim _{x \rightarrow 0^{+}}(\cos x)^{1 / x}$

Step 1 ：Rewrite the expression as \( \lim _{x \rightarrow 0^{+}}(1+(cosx-1))^{1 / x} \)

Step 2 ：Apply the limit property that \( \lim _{x \rightarrow 0^{+}}(1+x)^{1 / x}=e \)

Step 3 ：Since \( cosx \) approaches 1 as x approaches 0, the expression becomes \( (1+0)^{1 / 0} \)

Step 4 ：Thus, the limit value is 1

Step 5 ：Final Answer: The limit is \( \boxed{1} \)