First, advanced mathematics test sites

Function, limit, continuity: (1) infinitesimal, infinitesimal comparison method, using equivalent infinitesimal to find the limit; (2) the continuity of the function, judging the type of discontinuity of the function; (3) The properties of continuous functions on closed intervals (boundedness, maximum theorem, minimum theorem, mean value theorem).

Differential calculus of unary function: (1) Rolle theorem, Lagrange mean value theorem, Taylor theorem, Cauchy mean value theorem; (2) Using Robida's Law to find the limit of the indeterminate formula; (3) Using the derivative to judge the monotonicity of the function, and finding the extreme value, maximum value and minimum value of the function; (4) Find the inflection point and horizontal, vertical and oblique asymptotes of the function graph; (5) Calculate curvature and radius of curvature.