
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
Provide the proof process for the following inequalities:

\\(①\\) If \\(a\\), \\(b∈R\\), then \\(\dfrac{b}{a}+\dfrac{a}{b}\geqslant 2\sqrt{\dfrac{b}{a}\cdot \dfrac{a}{b}}=2\\);

\\(②\\) If \\(x > 0\\), then \\(\cos x+\dfrac{1}{\cos x}\geqslant 2\sqrt{\cos x\cdot \dfrac{1}{\cos x}}=2\\);

\\(③\\) If \\(x < 0\\), then \\(x+\dfrac{4}{x}\leqslant 2\sqrt{x\cdot \dfrac{4}{x}}=4\\);

\\(④\\) If \\(a\\), \\(b∈R\\), and \\(ab < 0\\), then \\(\dfrac{b}{a}+\dfrac{a}{b}=-\[-\dfrac{b}{a}+-\dfrac{a}{b}\]\leqslant -2\sqrt{(-\dfrac{b}{a})\cdot (-\dfrac{a}{b})}=-2\\).

Among these proof processes, the incorrect one(s) is/are __________ (fill in the number).

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