
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 $f\left(x\right)=\dfrac{m^{2}x}{x^{2}-m}$, where $m\neq 0$.
- (Ⅰ) When $m=1$, find the equation of the tangent line to the curve $y=f\left(x\right)$ at the point $\left(0,0\right)$.
- (Ⅱ) Determine the intervals of monotonicity for the function $f\left(x\right)$.
- (Ⅲ) If the function $f\left(x\right)$ has extremum values, write down the range of values for $m$. (State the conclusion only)

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