
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 functions $f(x)=ax-\ln(x+1)$ and $g(x)=e^x-x-1$. The tangent lines of the curves $y=f(x)$ and $y=g(x)$ at the origin are the same.

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

(Ⅱ) If for $x \geqslant 0$, $g(x) \geqslant kf(x)$, find the range of values for $k$.

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