
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 curve $f(x)=\frac{ax}{e^{x}}$, the equation of the tangent line at $x=0$ is $y=x+b$.

(1) Find the values of $a$ and $b$.
(2) If for any $x\in (\frac{1}{2},\frac{3}{2})$, the inequality $f(x) < \frac{1}{m+6x-3x^{2}}$ always holds, find the range of $m$.

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