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1) Problem: Evaluate the following limit (if it exists) Solution: We try to substitute infinity. We know that when n is large, we can ignore the "+1" part (see intuitive evaluation in Theory - Limits), so we get We see that the first part is fine, but the second needs some work. We obtained an indeterminate ratio, for which we have a box. So this is a straightforward example, we split the limit into two parts to be handled separately, then change the second part into functions and apply the l'Hospital rule. What happens if we get seduced into putting the terms together? We get If we had only the pop
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submitted by edison (4425 m) on 3 Apr 2008 14:43:00 IST (2 comments 177 views)
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