
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 $f(x)=\ln x+ \frac {m}{x}$, where $m\in\mathbb{R}$,

$(1)$ If the tangent line of the curve $y=f(x)$ at the point $(1,f(1))$ intersects the $y$-axis at a point with the ordinate $1$, find $m$;

$(2)$ Discuss the monotonicity of $f(x)$;

$(3)$ If for any $b > a > 0$, the inequality $\frac {f(b)-f(a)}{b-a} < 1$ always holds, find the range of $m$.

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