
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 $f(x)=e^{x}-ax-2$.

(Ⅰ) Find the intervals of monotonicity for $f(x)$;

(Ⅱ) If $a=1$ and $k$ is an integer, and when $x > 0$, $(x-k)f'(x)+x+1 > 0$, find the maximum value of $k$.

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