
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
Determine
$$
\lim _{n \rightarrow \infty} \sum_{i=0}^{n} \frac{1}{\binom{n}{i}} .
$$
(Note: Here $\binom{n}{i}$ denotes $\frac{n!}{i!(n-i)!}$ for $i=0, 1, 2, 3, \cdots, n$.)

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