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Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve. If you have a decent background in algebra (graphing and functions in particular), you'll hopefully enjoy this course!!!
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|Section 1: Limits Introduction|
Introduction to CalculusPreview
Introduction to LimitsPreview
Estimation of Limits
|Section 2: Non existent limits|
Limits that do not exist - Example No.1 - [|x|/x]
Limits that do not exist - Example No.2 - [1-x^2]
Limits that do not exist - Example No.3 - [ sin(1-x)]
|Section 3: Limits: Properties and Determination|
Properties of Limits
Determining Limits by Factoring
Determining Limits by Rationalization
Determining Limits by Fractions
|Section 4: Trigonometric Limits|
Trigonometric Limits - Example No.1 - [1-cos(x)-x]
Trigonometric Limits - Example No.2 - [tan(x)-x]
Proof of sin(x)-x
|Section 5: Limits in Epsilon Delta form|
Limit Definition - Epsilon Delta - 1
Limit Definition - Epsilon Delta - 2
Limit Definition - Epsilon Delta - Example
Proving a Limit
|Section 6: Continuity and Miscellaneous topics|
Introduction to Continuity
One Sided Limits Introduction
One Sided Limits Example
Geometric Interpretation of sec(x) and tan(x)
Geometric Interpretation of [1-cos(x)-x]
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