
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) = $\frac{(3-x)e^x + a}{x}$ (x > 0, a ∈ R, e is the base of the natural logarithm).
1. Find the equation of the tangent line to the curve y = f(x) at the point (1, f(1)) when a = 0.
2. When the function f(x) has two extreme points,
   a. Find the range of values for the real number a.
   b. If the maximum value of f(x) is greater than the integer n, find the maximum value of n.

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