Please give reason to support your answer
Q. Alternating current is flowing in inductance L and resistance R. The frequency of source is $\omega$/2$\mathrm{\pi }$. Which of the following statement is correct :
(1) For low frequency the limiting value of impedance is L.
(2) For high frequency the limiting value of impedance is $\omega$L.
(3) For high frequency the limiting value of impedance is R.
(4) For low frequency the limiting value of impedance is $\omega$L.

Dear student,
The resistance R is independent of frequency.
The inductive reactance varies with frequency as

From the above equation for inductive reactance, it can be seen that if either of the Frequency or Inductance was increased the overall inductive reactance value would also increase. As the frequency approaches infinity the inductors reactance would also increase to infinity acting like an open circuit.

However, as the frequency approaches zero or DC, the inductors reactance would decrease to zero, acting like a short circuit. This means then that inductive reactance is “proportional” to frequency.

Therefore statement 1 and 3 are correct, as for high frequency the circuit is pure resistive.
Regards