
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
Given that \( P \) is the vertex of a right circular cone with an isosceles right triangle as its axial cross-section, \( PA \) is a generatrix of the cone, and \( B \) is a point on the base of the cone. Find the maximum value of \(\frac{PA + AB}{PB}\).

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