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Search the internet for relevant resources that will help you describe the three conditions for continuity at a point, as well as the three kinds of discontinuities.Why is it continuity important in calculus?What are the ramifications of discontinuity?
Be sure to include the URLs in your paper, so sources can be verified.
Your final paper should be two pages in length.
Explanation & Answer
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Running Head: WHAT IS CONTINUITY
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What is Continuity?
Name
Institution
WHAT IS CONTINUITY
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When defining continuity of a function to be either continuous or not continuous, three
conditions for continuity at a point are revealed (Jaykody & Zazkis, 2015). We say that if a given
function f is continuous at a point say x, = a, therefore, we should have all the three conditions as
follows:
✓ A function must be defined at a given point
That is, f (a) is defined, meaning that the domain of f is a. The function can be defined at
x=a is equivalent to a real number.
✓ The function must have a limit from that side at a specific point
This means the limit must be existing. The limit of a function...
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