Read each pattern and its example, then write your own sentence on the line.
〜の極み N + の極み
States that something has reached an extreme limit. Formal and written; used with both positive and negative nouns.
連日の残業で疲労の極みに達している。 Days of overtime have left me utterly exhausted.
〜に堪えない V-dict（見る・聞く・読む）+ に堪えない ／ N（感謝・感激）+ に堪えない
With 見る/聞く it means too painful to watch or listen to; with emotion nouns it means overflowing with that feeling. Formal, written.
皆様のご厚意には感謝に堪えません。 I cannot express enough gratitude for everyone's kindness.
〜うが〜まいが V-vol + が + V-dict + まいが（する→しまいが、来る→こまいが）
Says the result is the same whether or not the action happens. Formal-ish, emphatic; common in written and assertive speech.
雨が降ろうが降るまいが、試合は予定通り行う。 Rain or no rain, the match will be held as scheduled.
〜（よ）うにも〜ない V-vol + にも + 同じ動詞の可能形の否定
Means you want to do it but circumstances make it impossible. Neutral register; the second verb must be a potential negative.
熱が高くて、起きようにも起きられなかった。 My fever was so high that I couldn't get up even though I wanted to.
〜（よ）うものなら V-vol + ものなら
Introduces an unlikely or ill-advised action and warns of a serious consequence. Emphatic, somewhat literary.
締め切りに遅れようものなら、大変なことになる。 If you were to miss the deadline, there would be serious trouble.
〜かたがた N（挨拶・お礼・報告 など動作性の名詞）+ かたがた
Doing B while also serving purpose A, typically a visit or letter. Very formal, mostly written correspondence and business greetings.
先日のお礼かたがた、ご挨拶に伺いました。 I came to greet you and also to thank you for the other day.