〜に限って・〜に限り
of all times/people; only (limited to)
Noun + に限って · Noun + に限り
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に限って has two uses.
Of all times: a complaint that bad luck strikes at the worst moment: 急いでいる時に限って、電車が遅れる, "it's always when I'm in a hurry that the train is late".
Of all people: trust that someone would never do something: うちの子に限って、そんなことをするはずがない, "my child, of all people, would never do such a thing".
に限り is "only, limited to", common in shops and notices: 本日に限り、全品半額です, "today only, everything is half price"; 先着百名様に限り, "first hundred customers only".
Its opposite is に限らず, "not only".
Examples
急いでいる時に限って、電車が遅れる。
It's always when I'm in a hurry that the train's late.
うちの子に限って、そんなことをするはずがない。
My child, of all people, would never do such a thing.
傘を持っていない日に限って、雨が降る。
It always rains on the one day I don't have an umbrella.
本日に限り、全品半額です。
Today only, everything is half price.
先着百名様に限り、プレゼントを差し上げます。
A gift will be given to the first hundred customers only.