10mA
2kΩ
50µH
20mA
10kΩ

ic(0-) = 10 mA ; vc(0+) = 100 V
ic(∞) = 20 mA ; vc(∞) = 0 V

vc(t) = 0 + 100e-t [V] ; t ≥ 0
time for vc to reach 0V: never, but 25ms is close

ic(t) = 100 - 10e-t [V] ; t ≥ 0
time for ic to reach 0A: never