
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 $f(x)=\ln x-\frac{a}{x}$, where $a\in\mathbb{R}$.

(1) When $a=2$, find the equation of the tangent line to the graph of the function $f(x)$ at the point $(1,f(1))$;

(2) If for any $x\in(1,+\infty)$, it always holds that $f(x) > -x+2$, find the range of values of $a$.

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