
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
The function $f(x)= \frac {\ln x+2}{x}+a(x-1)-2$.  
$(1)$ When $a=0$, find the extreme values of the function $f(x)$.  
$(2)$ If for any $x\in(0,1)\cup(1,+\infty)$, the inequality $\frac {f(x)}{1-x} < \frac {a}{x}$ always holds, find the range of the real number $a$.

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