The exam is coming,I am doing my

we __each other the best of luck in the coming exam

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do one‘s best 尽某人最大努力 固定短语
at English 在英语方面

do one's best 是个固定搭配，意思是尽某人的最大努力去做。。。。

v.尽全力；勉尽力量；尽心竭力；

One should do one's best.一个人要尽他的全力.
One should do one's best for the revolution.一个人应该为革命尽力。
Do one's best to do sth.尽某人最大的努力做某事。
Best do one's best to do sth.尽某人最大的努力去做某事

do somebody‘s best to do something
at English 在英语方面

这是两者比较，以前在学习上的努力和现在的比较，是两者比较，用better

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