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What is the limit of the function?

Select True or False for each limit statement.

 

limx→−∞(−2x3−2x)=∞

 

limx→∞(2x4+6x3−2x)=∞

 

limx→∞(−9x5−6x3−x)=−∞

 

I think it is false, true, true. 

 Apr 7, 2024
edited by wilmaaaa  Apr 7, 2024
edited by wilmaaaa  Apr 7, 2024
 #1
avatar+128794 
+1

All are true

 

The highest power term in each polynomial  determines the end behavior

 

-2x^3    goes to inf as x approaches -infinity    (x^3 will be negative but the -2 makes it positive)

2x^4  goes to inf as x approaches infinity  

-9x^5 goes to -inf as  x approacjes  infinity

 

cool cool cool

 Apr 7, 2024
edited by CPhill  Apr 7, 2024
edited by CPhill  Apr 7, 2024
edited by CPhill  Apr 7, 2024
 #2
avatar+15 
+1

Ok, thank you so much! :D

wilmaaaa  Apr 7, 2024

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