
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
1) \(\lim_{n \rightarrow \infty}\left(1 + \frac{a}{n}\right)^{n}\)

2) \(\lim_{x \rightarrow 0} \sqrt[x]{1 - 2x}\)

3) \(\lim_{t \rightarrow \infty}\left(\frac{t - 3}{t + 2}\right)^{2t + 1}\)

4) \(\lim_{x \rightarrow \frac{\pi}{4}} (\tan x)^{\tan(2x)}\)

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