The difference between series and parallel LC circuit
Both parallel and series L-C circuits are used.  They have opposite impedance characteristics of each other.

A inductor and capacitor in series has infinite impedance at 0 and infinite frequency, and 0 impedance at the resonant frequency.

A inductor and capacitor in parallel has 0 impedance at 0 and infinite frequency, and infinite impedance at the resonant frequency.

You don't have to just remember which case is which.  You can easily see from inspection whether the circuit has zero or infinite impedance at zero or infinite frequency.  In the series case, the impedance will obviously be infinite at DC due to the capacitor.  The inductor likewise has infinite impedance at infinite frequency.  In the parallel case, the inductor is a short at DC and the capacitor a short at infinite frequency.