
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
Find the limit of the function:  
1) \(f(x) = x^3 - 5x^2 + 2x + 4 \) as \( x \rightarrow -3 \).  
2) \(\varphi(t) = t \sqrt{t^2 - 20} - \lg \left( t + \sqrt{t^2 - 20} \right) \) as \( t \rightarrow 6 \).

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