Difference between revisions of "Math 22 Limits"
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which is read as "the '''limit''' of <math>f(x)</math> as <math>x</math> approaches <math>c</math> is <math>L</math> | which is read as "the '''limit''' of <math>f(x)</math> as <math>x</math> approaches <math>c</math> is <math>L</math> | ||
Note: Many times the limit of <math>f(x)</math> as <math>x</math> approaches <math>c</math> is simply <math>f(c)</math>, so limit can be evaluate by '''direct substitution''' as <math>\lim_{x\to c} f(x)=f(c)</math> | Note: Many times the limit of <math>f(x)</math> as <math>x</math> approaches <math>c</math> is simply <math>f(c)</math>, so limit can be evaluate by '''direct substitution''' as <math>\lim_{x\to c} f(x)=f(c)</math> | ||
| + | |||
| + | ==Some Basic Limits== | ||
| + | For <math>b,c,n</math> are constant. | ||
| + | 1. <math>lim_{x\to c} b=b</math> | ||
| + | 2. <math>lim_{x\to c} x=c</math> | ||
| + | 3. <math>lim_{x\to c} x^n=c^n</math> | ||
This page is under constuction | This page is under constuction | ||
'''This page were made by [[Contributors|Tri Phan]]''' | '''This page were made by [[Contributors|Tri Phan]]''' | ||
Revision as of 19:28, 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 approaches is
Note: Many times the limit of as approaches 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