Final answer:
Store-and-forward switching is the method that discards frames if errors are detected in the FCS check. This method holds the entire frame and verifies its integrity before forwarding, which is different from cut-through switching that may forward frames without completing an FCS check.
Step-by-step explanation:
The switching method that drops frames that fail the Frame Check Sequence (FCS) check is store-and-forward switching. In store-and-forward switching, the switch waits for the entire frame to arrive before it begins forwarding it. As the frame is coming into the switch, the FCS is checked for errors. If an error is detected, meaning the frame has been corrupted during transmission, the switch discards, or 'drops,' the frame. This process ensures that no corrupted frame is forwarded to the destination.
Other switching methods, like cut-through switching, may begin forwarding the frame before it has been completely received and therefore do not always wait for the FCS check before passing the frame along. There is also ingress port buffering, but this term refers to the buffering of frames at the ingress port and does not itself describe a method related to the dropping of frames based on FCS checks. Borderless switching is a term used to describe a network design philosophy and isn't directly related to the frame checking process in Ethernet switches.