
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
Let \( f(x) \) be an even function with a period of 2. When \( x \in [0, 1] \), \( f(x) = x^{\frac{1}{1998}} \). Arrange \( f\left(\frac{98}{19}\right) \), \( f\left(\frac{101}{17}\right) \), \( f\left(\frac{104}{15}\right) \) in ascending order.

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