
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given $f(x)= \dfrac {x}{2x+1}(x > 0)$, $f\_1(x)=f(x)$, $f\_{n+1}(x)=f(f\_n(x))$, $n∈N^{*}$, find the minimum value of $f\_s(x)$ on $\[ \dfrac {1}{2},1\]$ is _______.

Present the answer in LaTex format: \boxed{Your answer}
user