
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
To a source with an electromotive force \( e(t) \), a circuit is connected which consists of an inductor with inductance \( L \), a resistor with resistance \( R \), and a capacitor with capacitance \( C \) connected in series. Find the current \( i(t) \) in the circuit as a function of time \( t \), given that at the initial moment the current in the circuit and the charge on the capacitor are both zero.

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