How do you live without hope?

I am a single mom with a 3 yo severely autistic child and I think the lack of hope is what's making this so hard. Hope is essential. Hope that your child will progress, will ever be independent, will ever talk, will ever not be in diapers, etc. But when that is likely not ever going to happen how do you just get through the day to day??? Knowing that this is all there is until you die one day and leave him to fend for himself on this planet?? I'm sorry it's just been the hardest week I can remember in a long time.

Edit: thank you all for your words of encouragement and wisdom. I'm grateful for this subreddit and all of you ♥. Tomorrow is a new day and hopefully a good one.