
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 the left focus of the ellipse $$\frac {x^{2}}{a^{2}}$$+ $$\frac {y^{2}}{b^{2}}$$\=1 (a＞b＞0) is F, the left vertex is A, and the upper vertex is B. If the distance from point F to line AB is $$\frac {2b}{ \sqrt {17}}$$, then the eccentricity of the ellipse is \_\_\_\_\_\_.

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