Let's say I put a limit order on a stock right before close...

[kmiklas]

To be clear, this is a GTC/GTD order, so there's also this:

Note: For market centers that do not accept "native" GTC orders, the order type is simulated by resubmitting the relevant order each business day upon opening of the market center.

In some cases your order will be resubmitted as a Limit-on-open (LOO) order

Ref:
https://www.interactivebrokers.com/...ebook/ordertypes/time_in_force_for_orders.htm

https://www.interactivebrokers.com/en/index.php?f=590