Question

SQUEEZE THEOREM...........
when talking about SQUEEZE THEOREM, why we consider open interval only ?
i will provide an image if any doubt in question.

Answer 1

http://www.google.co.in/search?sourceid=chrome&ie=UTF-8&q=when+talking+about+SQUEEZE+THEOREM%2C+why+we+consider+open+interval+only+%3Fi+will+provide+an+image+if+any+doubt+in+question.

u r answer^&^ go to the link!

Answer 2

WHY DON'T we take closed interval too ?

Answer 3

somebody help me plz

Answer 4

The squeeze theorem states that if we have something like \[f(x) \le g(x) \le h(x)\]
If \[f(x)\lim_{x \rightarrow a} = h(x)\lim_{x \rightarrow a}=L\]
Then \[g(x)lim_{x \rightarrow a} = L\]

Answer 5

hey zepp... i take a look at u have explained . :)

Answer 6

yah.. u r right but when we write the theorem why we take only open intervals why not closed?

Answer 7

If not, there's not solution when x approches a.

Answer 8

What do you mean?

Answer 9

i have sent an image took a look at that explanation.. .... can the intervals be closed?

Answer 10

i got ur point . really thanks :) :) thanks a lot for helping :)

Answer 11

The interval doesn't really matter, we only want the value of y when something is approaching some value of x

What it is trying to say is that in this interval that contain the point x, we have the limit of the functions.

You are welcome :)