The concept of (1) function
Definition of function, representation of function, piecewise function, implicit function.
(2) the nature of the function
Monotonicity, parity, boundedness and periodicity.
(3) Inverse function
Definition of inverse function, image of inverse function.
(4) Basic elementary functions
Power function, exponential function, logarithmic function, trigonometric function, inverse trigonometric function.
(5) Four operations and compound operations of functions
(6) Elementary function
(B) limit the scope of knowledge
The concept of (1) sequence limit
Definition of sequence and sequence limit.
(2) The nature of sequence limit
Uniqueness, boundedness, four algorithms, pinch theorem, monotone bounded sequence limit existence theorem.
(3) the concept of function limit
The definition of the limit of a function at one point, the left and right limits and their relationship with the limit, the limit when the function approaches infinity, and the geometric significance of the function limit.
(4) the nature of function limit
Uniqueness, four algorithms, pinch theorem.
(5) Infinite quantity and infinite quantity
Definition of infinitesimal and infinitesimal, relationship between infinitesimal and infinitesimal, nature of infinitesimal, order of infinitesimal.
(6) Two important limitations
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