These two pots of mixed succulents sat out in my backyard on my patio table all summer. Unfortunately, I forgot about them, and they were left to the elements well into winter and through some really, really cold days. I think they froze. I brought them in to see if they would be rescued. As they thawed, I cut away the dead leaves and segments. You can still the dead and dark leaves. Behind those are bare stems. However, they not only survived but are thriving. Look at the new growth and flowers!
I have one with a similar tiny white flower.