
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 $f(x)=x-a\ln x (a\in R)$.
(I) When $a=2$, find the equation of the tangent line to the curve $f(x)$ at $x=1$;
(II) When $a=1$, let the function $h(x)=f(x)+\frac{1+a}{x}$, find the monotonic interval of the function $h(x)$.

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