答案：A

题目分析：inform 通知；guarantee 保证；refuse 拒绝 convince 使......相信 因此A选项正确。句意为“ 我不相信你所说的，但是如果你能拿出证据，那你就能够使我相信。”

【知识拓展】1 convince sb. to do sth 劝说某人做某事He convinced me to go with him.="=He" persuaded me to go with him. 2 convince sb. of sth.使某人相信 He convinced me of his truthfulness to me. 他使我相信他对我是忠心耿耿的。 convince sb that + 句子-----使某人确信He convinced me that he was right 他使我确信他是对的。