I'm not so sure. There's more to this than just plugging numbers into a calculator.realism877 said:(4x+1)/(3x-4)=4.5 lim approaches 2
Find values of delta that correspond to epsilon=0.5
I know how to use the calculator to get the solution.
realism877 said:I just want to know how to get rid of that nasty fractions to make things a lot easier.
The definition of a limit is a mathematical concept that describes the behavior of a function as its input approaches a certain value. It is denoted by the notation lim f(x), where x represents the input value and f(x) represents the function.
The limit of a function is calculated by evaluating the function at values that are very close to the desired input value. As these values get closer and closer to the input value, the resulting outputs can be used to determine the limit of the function.
A one-sided limit only considers the behavior of the function as the input approaches the desired value from one direction (either from the left or the right). A two-sided limit takes into account the behavior of the function from both directions as the input approaches the desired value.
If a function has no limit at a specific value, it means that the behavior of the function as the input approaches that value is either undefined or infinite. This could be due to a vertical asymptote, a discontinuity, or simply a value that is not in the domain of the function.
Knowing the limit of a function can be useful in many mathematical applications, such as finding the maximum or minimum value of a function, determining the continuity of a function, and evaluating limits in calculus problems. It can also help with understanding the behavior and properties of a function.