How can you show that the limit of this as , approaches 0 is not 0...? I understand why it doesn't approach 0 since approaches 0 quicker than , but how can it be shown more formally? I'd really appreciate the help. Thanks.
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Originally Posted by WWTL@WHL How can you show that the limit of this as , approaches 0 is not 0...? I understand why it doesn't approach 0 since approaches 0 quicker than , but how can it be shown more formally? I'd really appreciate the help. Thanks. I think this is a crude way of saying Is that right?
Yes, sorry if that wasn't clear. Any ideas?
Originally Posted by Mathstud28 I think this is a crude way of saying Is that right? Yes, but let's simplify this by letting since they both approach the same limit. We now have:
Originally Posted by colby2152 Yes, but let's simplify this by letting since they both approach the same limit. We now have: Now repeat with and let go to zero from the right, since for a limit to exist it must give the same result however you approach the point in question. CB
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