
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  $ l_1,\ l_2$  be the tangent and nomal line respectively at the point  $ (p,\ \ln (p \plus{} 1))$  on the curve  $ C: y \equal{} \ln (x \plus{} 1)$ .
Denote by  $ T_i\ (i \equal{} 1,\ 2)$  the areas bounded by  $ l_i\ (i \equal{} 1,\ 2), C$  and the  $ y$  axis respectively. Find the limit  $ \lim_{p\rightarrow 0} \frac {T_2}{T_1}$ .

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