
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
Find the limits of the following functions:
1) \( f(x) = 2x - 3 - \frac{1}{x} \) as \( x \rightarrow 1 \):
2) \( y = \frac{x^3 - 3x^2 + 2x - 5}{x^2 + 2} \) as \( x \rightarrow -1 \):
3) \( y = x \sin \frac{1}{x} \) as \( x \rightarrow 0 \).

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