Lim(x→2) in AP Calculus AB/BC

Definition

lim(x→2) represents finding the limit of a function as x approaches 2. It signifies evaluating what value the function gets close to as x gets arbitrarily close to 2.

Related terms

One-Sided Limit: A one-sided limit involves looking at the behavior of a function from only one direction, either from approaching from positive values (right-hand limit) or negative values (left-hand limit).

Infinite Limit:

An infinite limit occurs when the value of a function approaches positive or negative infinity as the input approaches a certain value.

Discontinuity:

A discontinuity in a function refers to a point where there is an abrupt jump, break, or hole in the graph. It indicates that the limit does not exist at that specific point.