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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