
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 $f(x)= \frac {\ln x+k}{e^{x}}$ where $k\in \mathbb{R}$, and $e$ is the base of the natural logarithm, $f'(x)$ is the derivative of $f(x)$.  
(Ⅰ) When $k=2$, find the equation of the tangent line to the curve $y=f(x)$ at the point $(1,f(1))$;  
(Ⅱ) For any $x > 1$, if $xe^{x}f'(x)+(2k-1)x < 1+k$ always holds, find the maximum integer value of $k$.

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