Extremity (Extremely / Utterly)

3 related grammar points that express the same core idea - compared below so you can tell which one to reach for.

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でしょうがない / 極まりない

Condemning something in writing as beyond acceptable.

vs : Use 極まりない. It attaches to an evaluative adjective (失礼極まりない) and delivers a judgement, almost always a negative one. でしょうがない reports your own overwhelming feeling in casual speech and cannot pass that kind of verdict.

Grading a quality as extreme, rather than exclaiming about it.

vs : 極まりない delivers a cold assessment and attaches to an evaluative adjective. といったらありはしない is a dramatic outburst ('you have no idea how...'), so it reports the speaker's state rather than passing judgement on the thing.