把下面中文翻译为英文

Taylor (Taylor) formula in the study of differential plays an important role, especially in resolving some specific problems in the very important applications, such as that inequality, generalized judgement of the convergence of the integration, and the limits of functions, and the high function First derivative, found some of the complexities of the convergence of the series, for some differential equations, and the approximate calculation of the application, so this will be done this seven-depth study.

（Google翻译，仅供参考）