
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
Let the function $f(x)=\frac{{e}^{x}}{{x}^{2}}-k\left(\frac{2}{x}+\ln x\right)$ ($k$ is a constant, $e=2.71828\ldots$ is the base of the natural logarithm).

(Ⅰ) When $k\leqslant 0$, find the monotonic intervals of the function $f(x)$;

(Ⅱ) If the function $f(x)$ has two extreme points in the interval $(0,2)$, find the range of values for $k$.

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