
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
1. Find the limit: 
   \[
   \lim _{x \rightarrow 2} \frac{5 x^{2}+3 x-4}{x^{2}-1}
   \]
2. Find the limit: 
   \[
   \lim _{x \rightarrow 3} \sqrt{x^{2}+3 x-4}
   \]
3. Find the limit: 
   \[
   \lim e^{\sin x+1}
   \]
4. Find the limit: 
   \[
   \lim _{x \rightarrow 0} \cos ^{2} x. \quad x \rightarrow \frac{\pi}{2}
   \]

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