試みて

trying, attempting

→ 試みる
試み try, attempt + て Te-form (conjunctive form)
verb Rare #36,820
trying, attempting 試みる is somewhat more formal than 試す.
JA: 新しい方法を試みて、結果を記録した。
EN: I tried a new method and recorded the results.
Conjugation of 試みる
Past
試みて
Present

その工場では水の汚染を取り除く事を試みている。

They are trying to eliminate water pollution at that factory.

彼がどんなに一生懸命試みても私の意見は変わらない。

No matter how hard he tries, I won't change my mind.

町の人たちは密輸業者がしようと試みていたことに驚くほど無知だった。

The townspeople were astonishingly unaware of what the smugglers were attempting to do.

一度に二つの計画を試みてはいけない。

You shouldn't try to pursue two plans at once.