Lim(x→3)

Definition

The expression "lim(x→3)" denotes the limit of a function as x approaches 3. It signifies finding the value that the function approaches as x gets arbitrarily close to 3.

Related terms

One-sided Limit: A one-sided limit exists when approaching from only one direction (either left or right) instead of both directions simultaneously.

Discontinuity:

A discontinuity occurs when there is a break or jump in the graph of a function, meaning there is no defined value for some point(s).

Indeterminate Form:

An indeterminate form arises when evaluating limits where there isn't enough information to determine the limit's value directly. Examples include 0/0 and ∞/∞.