
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 an ellipse C: $$\frac {x^{2}}{a^{2}}$$+ $$\frac {y^{2}}{b^{2}}$$\=1 (a＞b＞0) with an eccentricity of $$\frac { \sqrt {3}}{2}$$, and it passes through point M ( $$\sqrt {3}$$, $$\frac {1}{2}$$).
(I) Find the equation of ellipse C.
(II) A line l that is not vertical to the x-axis passes through point N (0, $$\sqrt {2}$$), and intersects with ellipse C at points A and B. If the origin O is inside the circle with AB as its diameter, find the range of the slope of line l.

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