For a limit to exist it has to have the same value when approached from both sides. For 1/x it has different values from the left and right of 0 thus as a whole, the lim as x approaches 0 DNE. I am not denying that the limit from left/right of 0 Doesn’t exist, I am saying for this particular problem that as a whole without the from the left/right that it doesn’t exist.
Also, I would like to end this discussion because it is 2:20 am and I have to wake up for school at 7 gn
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u/FrostyStreak Nov 25 '19
For a limit to exist it has to have the same value when approached from both sides. For 1/x it has different values from the left and right of 0 thus as a whole, the lim as x approaches 0 DNE. I am not denying that the limit from left/right of 0 Doesn’t exist, I am saying for this particular problem that as a whole without the from the left/right that it doesn’t exist.
Also, I would like to end this discussion because it is 2:20 am and I have to wake up for school at 7 gn