The Limit of a Function (Part 2)

Flashcards covering key concepts related to limits and their behaviors as discussed in the lecture notes.

Limit

The value that a function approaches as the input approaches a certain point.

Infinite Limit

A situation where the values of f(x) can be made arbitrarily large or small by taking x sufficiently close to a.

Vertical Asymptote

A line x = a where a function approaches infinity or negative infinity.

Finite Number

A real number that is not infinite.

Behavior of Limits

The way a function behaves as it approaches a particular value.

Group Work

Collaborative exercises aimed at exploring mathematical concepts through examples.

Example Function

An illustrative function used to clarify a mathematical concept or limit.

Approaching a Point

The concept of getting infinitely close to a certain value in the context of limits.

Asymptotic Behavior

The behavior of a function as it approaches a particular value or infinity.

Undefined Limit

A limit that does not approach a finite value or infinity.