to achieve the desired aim or result (often used with in + -ing or with objects: succeed in doing something / succeed at something).

（目的・望みが）成功する、うまくいく（succeed in＋動名詞や succeed at＋名詞で使う）

to come after someone in a position, office, or role; to replace or take the place of (often used with succeed someone or succeed to something).

（人・地位の）後を継ぐ、取って代わる（succeed someone／succeed to＋名詞で使う）

to be successful in doing something specified (often emphasizing the outcome of an attempt).

（試み・挑戦が）成功する、うまくやり遂げる（試行の結果に焦点）