
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 the function $f(x)=\frac{x+a}{e^{x}}$ where $a\in\mathbb{R}$ and $e$ is the base of the natural logarithm, $e\approx2.71828$.

1. If the slope of the tangent line to the curve $y=f(x)$ at $x=0$ is $-1$, find the value of the real number $a$.
2. Find the maximum value of $f(x)$ on the interval $[-1,1]$, denoted as $g(a)$.
3. When $a=0$, if $f(x) > f(\frac{m}{x})$ holds for any $x\in(0,1)$, find the minimum value of the positive real number $m$.

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