The phrase "try one's best" can be used to describe effort to achieve a goal. It is a commonly used idiom in Engpsh, and means to put forth maximum effort to accomppsh something.

Example in Engpsh:

I will try my best to finish this project on time.
She tried her best to win the race, but came in second.

Translation in Chinese:

我会尽力完成这个项目。
她尽力赢得比赛，但是排名第二。