Hey guys, I'm trying to understand how to determine the left and right side of this limit: limit as x -> 2 |x-2|/(x-2) Do I have to graph it, or is there an algebraic way to do this? Cheers.
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Originally Posted by Glitch Hey guys, I'm trying to understand how to determine the left and right side of this limit: limit as x -> 2 |x-2|/(x-2) Do I have to graph it, or is there an algebraic way to do this? Cheers. Recall that When you are are approaching from the left, . So . When you are approaching from the right, . So . Clearly, since the left hand limit is not the same as the right hand limit, the limit does not exist.
Ahh, I see. I was thinking that that'd be 0/0 (when you sub in 2) which is undefined. Thanks.
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