How to limit submission per day with expired date?

There's no direct option to set a daily limit and expiration date. 

I can suggest a workaround via conditional logic and Submissions Counter widget. 

You would also need a Date Picker field and Text element:

The following type of conditional statements can show a message and hide form fields if submission quota for the day is exceeded:

How-to-Show-or-Hide-Fields-Base-on-User-s-Answer

I'm afraid, it would be needed to set up statements with greater Submissions Counter value for every day you would like to limit.