
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 $g(x)=(ax- \frac {b}{x}-2a)e^{x}(a > 0)$, if there exists $x_{0}\in(1,+\infty)$, such that $g(x_{0})+g''(x_{0})=0$, determine the range of $\frac {b}{a}$.

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