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Which of the following is true for the images?

Image B

 

 

Option: 1

Image A does not contain the graphic representation of the function squeezed between two functions having the same limit, but image B does.


Option: 2

Image B does not contain the graphic representation of the function squeezed between two functions having the same limit, but image B does.


Option: 3

Both images A and B contain the graphic representation of the function squeezed between two functions having the same limit.


Option: 4

Neither image A nor image B contains the graphic representation of the function squeezed between two functions having the same limit.

 


Answers (1)

best_answer

The Sandwich theorem also known as squeeze play theorem applicable for any three real valued functions f(x),g(x) and h(x)  that shares the same domain such that f(x)\leq g(x)\leq h(x) for \forall x in the domain of definition states the following: For some real value of a, if \lim _{x \rightarrow a} f(x)=l=\lim _{x \rightarrow a} h(x) then \lim _{x \rightarrow a} g(x)=l 

Note that in both the images the middle graph is the graphic representation of the function squeezed between two functions, all three having the same limit.

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