Simple limits graph

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Ramulala

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Dec 12, 2020
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Hi! See the picture
I found the f(3) = 1

I am left with only one chance
Find lim x--> 3 f(X) = ??

I bit of confused with the dotted and non dotted points. Is it going to be DNE??
 

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Ramulala said:
Hi! See the picture
I found the f(3) = 1

I am left with only one chance
Find lim x--> 3 f(X) = ??

I bit of confused with the dotted and non dotted points.
Click to expand...
The limit exists and equals to L if, as x gets close to 3 from _both_ sides, the value gets close to L. Is this the case?
 
Yes!

I think it is going to DNE because if you see there are two lines one starting and one ending at 3. Both those lines deverge and not going to same place.
I just need validation. If I am correct on that.
 
Ramulala said:
Yes!

I think it is going to DNE because if you see there are two lines one starting and one ending at 3. Both those lines deverge and not going to same place.
I just need validation. If I am correct on that.
Click to expand...

As x tends to 3 from the left and right simultaneously, does it end up at the same location?
 
The limit from the left is -1 and the limit from the right is 2. The limit does not exist.
 
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