
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 the function $f(x)=e^{x}-ae^{x}$, where $a\in R$ and $e$ is the base of the natural logarithm.
1. Discuss the monotonicity of the function $f(x)$.
2. Find the range of values of $a$ such that $f(x)\geqslant 0$ always holds when $x\in R$.

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