Video:Limit: Difference between revisions

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===Two-sided limit===
===Two-sided limit===


<center>{{#widget:YouTube|id=9Pk3iG0kTDg}}</center>
<center>{{#widget:YouTube|id=tNreEus6XqM}}</center>


===Left hand limit===
===Left hand limit===
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===Right hand limit===
===Right hand limit===


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===Relation between the limit notions===
===Relation between the limit notions===
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===Two-sided limit===
===Two-sided limit===


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<center>{{#widget:YouTube|id=W1fFFevKcuY}}</center>
<center>{{#widget:YouTube|id=jZl0hDLnY3I}}</center>


==Non-existence of limit==
==Non-existence of limit==


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==Conceptual definition and various cases==
==Conceptual definition and various cases==
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===Formulation of conceptual definition===
===Formulation of conceptual definition===


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===Functions of one variable case===
===Functions of one variable case===

Revision as of 22:48, 7 September 2012

Definition for finite limit for function of one variable

Two-sided limit

{{#widget:YouTube|id=tNreEus6XqM}}

Left hand limit

Right hand limit

{{#widget:YouTube|id=nUhZVu7rP0w}}

Relation between the limit notions

Definition of finite limit for function of one variable in terms of a game

Two-sided limit

{{#widget:YouTube|id=9MZDOetLff8}}
{{#widget:YouTube|id=jZl0hDLnY3I}}

Non-existence of limit

{{#widget:YouTube|id=yRow49VVQmg}}

Conceptual definition and various cases

Formulation of conceptual definition

{{#widget:YouTube|id=PExbSUX8lMs}}

Functions of one variable case

This covers limits at and to infinity.

{{#widget:YouTube|id=Z0e-dp4WiGM}}

Real-valued functions of multiple variables case

{{#widget:YouTube|id=HZcYxcZplFA}}