
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 $f(x)= \frac{\ln x}{x}$, $g(x)= \frac{m}{x} + \frac{1}{2}$ $(m\in\mathbb{R})$.  
(I) When $m=1$, find the equation of the tangent line to the curve $y=g(x)$ at $x=1$;  
(II) Determine the monotonic intervals of $f(x)$ and compare the size of $\sqrt[2017]{2017}$ and $\sqrt[2016]{2016}$.

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