
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 $f(x)= \frac{x}{e^{x}}$, define $f_{1}(x)=f'(x)$, $f_{2}(x)=[f_{1}(x)]'$, ..., $f_{n+1}(x)=[f_{n}(x)]'$, $n∈N^{*}$.
After calculating, $f_{1}(x)= \frac{1-x}{e^{x}}$, $f_{2}(x)= \frac{x-2}{e^{x}}$, $f_{3}(x)= \frac{3-x}{e^{x}}$, ..., according to this pattern, $f_{n}(x)=$ \_\_\_\_\_\_.

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