发自心底用英语怎么说

"发自心底" (fā zì xīn dǐ) is a Chinese expression that means "from the bottom of one's heart," "sincerely," or "wholeheartedly." It is often used to convey genuine feelings or emotions.
In English, this expression can be translated as "sincerely," "genuinely," or "from the heart." Here are some example sentences in English with their translations in Chinese:
"I sincerely apologize for any inconvenience caused." (真诚地道歉给您带来的不便。)
"I genuinely appreciate your support." (我真心感谢你的支持。)
"I'm writing this letter from the heart." (我写这封信是发自心底的。)