Indeterminate Limits
A Limit does not Exist
When you first try the plug-in technique and discover that the answer is
some number (except zero) divided by 0 (undefined) then the limit does
not exist.
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Continuity
As with limits, continuity is a very important mathematical concept to
understand. Many of the subsequent theorems, definitions and
conjectures in calculus will depend on the principle of c
Limits Involving Infinity
The symbol for infinity, , does not represent a real number. We use
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Rates of Change and Tangent Lines
The Average Rate of Change of a quantity over a period of time is the
amount of change divided by the change of time.
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We say, Average Rate of change
where x is the
The Concept of a Limit
The concept of the limit of a function is one of the most fundamental ideas
that distinguishes Calculus from the other disciplines of mathematics such
as Geometry and algebra. I