
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 $f(x)=(x-1)e^{x}-kx^{2}+2$, where $k\in\mathbb{R}$.  
(I) When $k=0$, find the extreme values of $f(x)$;  
(II) If for any $x\in[0,+\infty)$, $f(x)\geqslant 1$ always holds, find the range of $k$.

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