Function Limits VIII: Limits Involving Zero

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Lesson Summary: 
We highlight what we have learned with regard to function limits of quotients of functions whose limits go to zero.
Lesson Inputs: 
Function Limits VII: Putting It All Together With Useful Examples

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Lesson: 

When we are dealing with the limit of the quotient of two functions,

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then we know that the limit does not exist when

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but does exist and is zero when

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But what happens when both

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Can we say for certain whether the function limit exists or not? The answer is no. In this situation the function limit may exist or may not exist. The limit could be zero or unbounded. Here are important limits involving functions going to zero:

Important <Sign in to see all the formulas> Examples

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for <Sign in to see all the formulas>

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