Evaluating Limits

(1)

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Evaluating Limits

Name___________________________________

Date________________ Period____

Evaluate each limit.

1) lim

x^  2) lim

x^

(

x

)

3) lim

x

(

x

)

4) lim

x

(

x^x^x

)

5) lim

x

(

x^x^

)

_{6) lim}

x  x

7) lim

x

x

8) lim

x

x

x^x

9) lim

x^

x

x^x

10) lim

x



cos

(

x

)

Critical thinking questions:

11) Give an example of a limit that evaluates to 5.

12) Give an example of a limit of a quadratic function where the limit evaluates to 16.

(2)

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Evaluating Limits

Name___________________________________

Date________________ Period____

Evaluate each limit.

1) lim

x^ 



2) lim

x^

(

x

)



3) lim

x

(

x

)



4) lim

x

(

x^x^x

)



5) lim

x

(

x^x^

)



6) lim

x  x

 

7) lim

x

x



8) lim

x

x

x^x





9) lim

x^

x

x^x



10) lim

x



cos

(

x

)





Critical thinking questions:

11) Give an example of a limit that evaluates to 5.

Many answers. Ex: lim

x x

12) Give an example of a limit of a quadratic function where the limit evaluates to 16.

Many answers. Ex: lim

x x^

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