
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 $f(x) = e^{x+1} - a \ln{x} + a$, where $a > 0$.

1. Find the equation of the tangent line to the curve $y = f(x)$ at the point $(1, f(1))$ when $a = 1$.
2. Determine the range of values for the real number $a$ such that the inequality $f(x) > 0$ always holds true.

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