Calculus 2 : Limits

Study concepts, example questions & explanations for Calculus 2

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Example Questions

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Example Question #11 : Limits And Continuity

Screen shot 2015 08 19 at 5.23.24 pm

Given the above graph of , over which of the following intervals is  continuous?

Possible Answers:

Correct answer:

Explanation:

For a function  to be continuous at a given point , it must meet the following two conditions:

1.) The point  must exist, and

2.) .

 

Examining the above graph,  is continuous at every possible value of  except for , . Thus,  is continuous on the interval .

Example Question #18 : Limits And Continuity

Screen shot 2015 08 19 at 5.43.00 pm

Given the above graph of , over which of the following intervals is  continuous?

Possible Answers:

Correct answer:

Explanation:

For a function  to be continuous at a given point , it must meet the following two conditions:

1.) The point  must exist, and

2.) .

 

Examining the above graph,  is continuous at every possible value of  except for , . Thus,  is continuous on the interval .

Example Question #19 : Limits And Continuity

Screen shot 2015 08 21 at 11.18.01 am

Given the above graph of , over which of the following intervals is continuous?

Possible Answers:

Correct answer:

Explanation:

For a function to be continuous at a given point , it must meet the following two conditions:

1.) The point must exist, and

2.) .

 

Examining the above graph, is continuous at every possible value of except for . Thus, is continuous on the interval .

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