Difference between revisions of "Math 22 Limits"

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   For <math>b,c,n</math> are constant.
 
   For <math>b,c,n</math> are constant.
 
   1. <math>lim_{x\to c} b=b</math>
 
   1. <math>lim_{x\to c} b=b</math>
 +
 
 
   2. <math>lim_{x\to c} x=c</math>
 
   2. <math>lim_{x\to c} x=c</math>
 +
 
 
   3. <math>lim_{x\to c} x^n=c^n</math>
 
   3. <math>lim_{x\to c} x^n=c^n</math>
  

Revision as of 20:28, 13 July 2020

The Limit of a Function

 Definition of the Limit of a Function
 If  becomes arbitrarily close to a single number  as  approaches  from either side, then
 
 which is read as "the limit of  as Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x}
 approaches Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c}
 is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle L}

Note: Many times the limit of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)} as Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} approaches Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle c} is simply , so limit can be evaluate by direct substitution as

Some Basic Limits

 For  are constant.
 1. 
 
 2. 
 
 3. 

This page is under constuction

This page were made by Tri Phan