Limit laws are a set of rules that can be used to calculate the limit of a function. These laws are based on the properties of limits and can help simplify the process of finding the limit of a more complex function.
To use limit laws, you must first identify which law or laws apply to the given function. Then, you can apply the law(s) to simplify the function and evaluate the limit. It is important to note that limit laws can only be used when the limit exists.
The most commonly used limit laws include the sum, difference, product, and quotient laws. These laws state that the limit of a sum, difference, product, or quotient of two functions is equal to the sum, difference, product, or quotient of the limits of the individual functions, respectively.
No, limit laws can only be used for continuous functions. This means that the function must be defined and have a limit at the given point. If a function is discontinuous or has a limit that does not exist, limit laws cannot be applied.
Yes, there are some limitations to using limit laws. For example, limit laws cannot be used for indeterminate forms, such as 0/0 or ∞/∞. In these cases, other methods, such as L'Hospital's rule, must be used to evaluate the limit.