RLC Circuits at t=0 and infinity
You actually don't need any equations for this, it's testing your intuitive understanding of RLC circuits. 


The voltage across an inductor after a long time is zero.  
The current through a capacitor after a long time is zero.
The voltage across a capacitor does not change instantly. 
The current through an inductor does not change instantly.


If you use applicable rules as above and Ohm's law your answer should be clear. 

These apply provided there is some resistance in the circuit somewhere, otherwise the current could slosh back and forth forever, in the simplified way of looking at things. 

Once you have the initial conditions you can apply the equations for an RLC circuit.