if and only if, for any , there is a  such that if , then .

This algerbric definition is similar to the one we have already learned, because if you already know the value of limit and understand that this is also another version of limit then you can replace or add some words to have it make complete since. So if someone where to tell you this is a definition of limit, then if you understand the actual full def. of limit then your brain should just replace it with the real one and have it make complete since. [It is] if and only if, for any [epsilon value], there is a [delta value], such that if [delta is "within" a value of c but no equal], then [epsilon is a value "within" L].

Blog #2: Ch. 2 "Sum It Up"

In Chapter 2 so far the most important thing i have learned and understand is the complete definition of Limits. A limit as i understand it is a point of a function at a certain x value that the function does not need to exist at, it just needs to approach this value. A limit applies to a derivative because you can use the limits that pertain to the point you are looking at for the derivative. Continutiy is a function that has no removable or step discontinutities. The intermediate value theorem is if a certain section of f(x) is continuous then there will always be a value at any y value. What did i get on the test?

Blog #1: Ch. 1 "Sum It Up!"

You may want to copy/paste this blog prompt into your blog so that you can refer to it as you write your entry. Just click and drag to highlight the text below, then press Control+C. When you create a new entry, press Control+V to paste the text into your blog.

Blog #1: Ch. 1 "Sum It Up!"

Start an online journal (your blog) in which to record your understandings about calculus. Your first entry should include such things as those listed here:

• The three concepts of calculus we've studied so far
• The distinctions among derivative, definite integral, and limit
• The techniques you have learned for calculating and/or estimating derivatives, definite integrals, and limits
• Any questions that still aren't clear in your mind

      The three concepts of of calculus that we have studies are derivative, definite intergral, and limits.

      A derivative is the instantaneous rate of change at a point on the graph. A definite intergral is the area of a graph between two x values. A limit is a y value where x is approaching c.

      To find a derivative you use slope formula of two points surrounding the point your lookin at. To find a intergral we learned how to use the trapizoid formula to come very close to the actual area between the two points. And to find a limit you can plug the x value into your equation. If there is a hole at the point you are looking for you just get rid of the common numerators and then plug x into the new equation.

     I have a complete understanding of the things we have learned so far in this chapter, and have no questions.