1mA
2kΩ
1µF
-2.5mA
10kΩ

vc(0-) = -2 V ; ic(0+) = -0.2 mA
vc(∞) = -25 V ; ic(∞) = 0 mA
τ = 10 ms

vc(t) = -25 + 23e-100t [V] ; t ≥ 0
time for vc to reach 0V: never

ic(t) = -2 - 0.2e-100t [V] ; t ≥ 0
time for ic to reach 0A: never, but 50ms is close