
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
Let $J(m)$ be the x coordinate of the left end point of the intersection of the graphs of $y=x^3-6$ and $y=mx^2$. For $m \neq 0$, define $s=\frac{J(-m)-J(m)}{m^2}$. What happens to the value of $s$ as $m$ is made arbitrarily close to zero?

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