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For problem 7 on the practice problem worksheet, would it be valid to just let be z equal to the curve R*exp(it) in the integrand and take the limit as R goes to infinity, of the integral showing that the integrand approaches 0 and thus the integral goes to 0?--[[User:Apdelanc|Adrian Delancy]] | For problem 7 on the practice problem worksheet, would it be valid to just let be z equal to the curve R*exp(it) in the integrand and take the limit as R goes to infinity, of the integral showing that the integrand approaches 0 and thus the integral goes to 0?--[[User:Apdelanc|Adrian Delancy]] | ||
| − | Adrian, no that isn't enough because the ''length'' of the curve goes to infinity at the same time that the integrand goes to zero. It is a more subtle problem and you need to use the estimate that I used in class today. See my notes at | + | Adrian, no that isn't enough because the ''length'' of the curve goes to infinity at the same time that the integrand goes to zero. It is a more subtle problem and you need to use the estimate that I used in class today. |
| + | --[[User:Bell|Steve Bell]] See my notes at | ||
| − | [http://www.math.purdue.edu/~bell/MA425/Lectures/lec10-05.pdf lec10-05.pdf | + | [http://www.math.purdue.edu/~bell/MA425/Lectures/lec10-05.pdf lec10-05.pdf] |
Revision as of 09:43, 5 October 2009
Discussion area to prepare for Exam 1
Professor Bell,
For problem 7 on the practice problem worksheet, would it be valid to just let be z equal to the curve R*exp(it) in the integrand and take the limit as R goes to infinity, of the integral showing that the integrand approaches 0 and thus the integral goes to 0?--Adrian Delancy
Adrian, no that isn't enough because the length of the curve goes to infinity at the same time that the integrand goes to zero. It is a more subtle problem and you need to use the estimate that I used in class today. --Steve Bell See my notes at
