
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
Suppose a line with an initial length of 2 inches grows according to the following series:
\[ 2 + \frac{1}{3}3 + \frac{1}{3} + \frac{1}{9}3 + \frac{1}{9} + \frac{1}{27}3 + \frac{1}{27} + \cdots \]
Determine the limit of the length of the line as the series continues infinitely.
A) 3
B) 2
C) 4
D) 4.5
E) 5

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