
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
Consider the series $3 - 1 + \frac{1}{3} - \frac{1}{9} + \cdots$. Determine which statement(s) are correct concerning this series:
(1) the sum oscillates between two values,
(2) the sum approaches zero,
(3) the sum of the series can be made as close to 2 as desired,
(4) the series sum converges to a finite limit,
(5) the sum is greater than 1 for all terms.
A) Only 4
B) Only 1 and 2
C) Only 5
D) Only 4 and 5
E) Only 2, 4, and 5

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