
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 $e$ is the base of natural logarithms), the equation of the tangent line at point $(0, f(0))$ is $y=b$.
1. Find the values of $a$ and $b$;
2. Suppose there is a function $$g(x) = xf(x) + mf'(x) + \frac {1}{e^{x}},$$ with $m>0$. If there are real numbers $x_1, x_2 \in [0,1]$ such that $2g(x_1) < g(x_2)$ holds, find the range of values for the real number $m$.

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