# Epsilon-delta definition of limit

Not what you're looking for?

The formal definition of the limit is explained using the example lim x->5 2x = 10.

##### Purchase this Solution

##### Solution Summary

The formal definition of the limit is explained using an example.

##### Solution Preview

If we make a statement like , what we mean is that as gets closer and closer to 5, the function gets closer and closer to 10. You might ask the question (if this were a less obvious example) "How do you know that gets closer and closer to 10 as gets closer and closer to 5? If that really is true, show me values centered around 5 for which is within ½ of 10." (see picture below, not to scale)

so eventually we should get to the

point where is within ½ of 10

is getting closer and closer to 5

I take a look at your statement " is within ½ of 10" and realize that this ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts