
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
If the function \( f(x)=\left\{\begin{array}{l}\frac{a}{1-x}-\frac{b}{1-x^{2}}, x \neq \pm 1 \\ 1, x=1\end{array}\right. \) is continuous at \( x=1 \), then the constants \( a \) and \( b \) are equal to what values?

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