Monday, June 6, 2011

Section 12.1: Introduction to Limits

The Definition Limit:


If becomes close to a value L as x approaces c from the other side, the limit of as x aproaches c is L. this is written as

A limit is always a value, a particular number.

represents the y-value.



You can find the limit using the graph of table feature in a graphing calculator. For example:



The closer x gets to 1, the closer y gets to 2.





Limit Does NOT Exist If:
1. The left and right hand limit are different

A positive sign indicates a right hand limit

A negative sign indicates a left hand limit


2. The limit 'tends to infinity'





3. When using trig functions....

With trig functions, such as the sine function, the graph oscilates bewteen two set values at an infinately fast pace.



Limits distribute over addition.



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