
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 \( f(x) = \frac{\cos(x) + x^2}{x+1} \). Evaluate \( f(i) \), where \( i = \sqrt{-1} \).
A) \( \frac{e^2 - 3}{2e} \)
B) \( \frac{e + e^{-1} - 2}{2(i + 1)} \)
C) \( \frac{1 - e + e^{-1}}{1 + i} \)
D) \( \frac{e + e^{-1}}{2(i + 1)} \)
E) \( -1 - i \)

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