
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
The curve $y= \frac {1}{x} (x > 0)$ has a tangent line at point $P(x_{0},y_{0})$ denoted as $l$. If the line $l$ intersects the $x$ and $y$ axes at points $A$ and $B$, respectively, calculate the area of $\triangle OAB$ (where $O$ is the origin).

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