
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
A circle is inscribed in a square with side length $m$. Another square is inscribed in this circle, then another circle is inscribed in the second square, and this process continues. Determine the limit of the total area of the first $n$ circles as $n$ increases indefinitely.

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