
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 a function $f(x) = \frac {1}{2} + \log_{2} \frac {x}{1-x}$, and $S_{n} = \sum\limits_{i=1}^{n-1} f\left( \frac {i}{n} \right)$, where $n \in \mathbb{N}^*$ and $n \geq 2$, find the value of $S_{2014}$.

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