Here is my answer. I know this is correct, but I'm confused about one thing. When I take the limit as t approaches 4 from the left, do I approach 4 from the left on or on ?
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If you approached on , the over all limit would not exist.
Last edited by dwsmith; April 17th 2010 at 09:05 PM. Reason: added a quantifer
Originally Posted by dwsmith If you approached on , the over all limit would not exist. Aren't we approaching ?
Originally Posted by temaire Aren't we approaching Originally Posted by temaire ? That limit doesn't exist. It only exist on the original equation. You can't evaluate this at 4 since one side is and the other side is
Originally Posted by dwsmith [font=Arial] That limit doesn't exist. It only exist on the original equation. You can't evaluate this at 4 since one side is and the other side is Actually, aren't both sides negative? This is the graph from x=3 to x=5.
I understand now. You can approach ln|x-4| from the left.
Originally Posted by temaire Actually, aren't both sides negative? This is the graph from x=3 to x=5. That is what I was telling you. That limit exist at 4 and the ln function you were asking about DNE
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