Used in formal situations to show respect, especially with strangers or elders. I beg your pardon for arriving late to the meeting.
Pro Tip 2/3
Sincerity Matters
Say it with genuine remorse to sound sincere in your apology, not just as a reflex. I truly beg your pardon for my earlier comments; they were out of line.
Pro Tip 3/3
Not for Casual Apologies
Avoid using it for minor inconveniences or informal situations; it may seem too formal. I beg your pardon for bumping into you.