A limit in mathematics is a fundamental concept that describes the behavior of a function as its input approaches a certain value. It is used to determine the value that a function approaches as the input gets closer and closer to a specific value.
To find the limit of a function, you can evaluate the function at different points approaching the desired value. If the values of the function at these points are getting closer and closer to a specific value, then that value is the limit of the function at that point.
A one-sided limit only considers the behavior of a function as the input approaches the desired value from one side, either from the left or from the right. A two-sided limit takes into account the behavior of the function from both sides of the desired value.
An inequality is a mathematical statement that compares the values of two quantities using symbols such as <, >, ≤, or ≥. It describes a relationship between the quantities, indicating which one is larger or smaller.
To solve an inequality, you can use the same methods as solving an equation, but with one important difference: if you multiply or divide both sides of the inequality by a negative number, the direction of the inequality sign must be reversed.