Limits & continuity

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Limits and Continuity

By Anand MeraSkill.com

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Limits & Continuity

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Index What are Limits? Basic of Limit Avoid Indeterminant Infinity Problem Formula based Problem Condition for discontinuous Check Limit Exist or Not Check Continuous or Not Š MeraSkill


Limit

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What are limits? What is the value of (x2+4) (x+2) at x=2

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What are limits? What is the value of (x2-4) (x-2) at x=2

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What is the value of (x2-4) (x-2) at x=2 It is indeterminate, value does not exist. How to solve these equations?

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So instead of x=2, lets try to approach function closer to 2

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at x=2 it is indeterminate But we see it is going closure to 4

We say the limit of

Expressed as

as x approaches 2 is 4

lim

x →2

=4

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