
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 $f(x)=x+ \frac {1}{x}-a\ln x$ $(a\in\mathbb{R})$.  
$(1)$ If the line $y=x+1$ is tangent to the curve $y=f(x)$, find the value of $a$;  
$(2)$ If the inequality $f(x)\geqslant \frac {2}{e}$ always holds for $x$, find the range of values for $a$.

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