|Feb28-07, 02:50 AM||#1|
Limits and Integrals
If you are taking the limit of an integral, can you switch the composition ie: take the integral of a limit if the limit and integral are on seperate variables?
Lim of z to a [integral over alpha [f(x)/((x-z)(x-a)^2) dx]
Integral over alpha[Lim of z to a[f(x)/((x-z)(x-a)^2) dx]
Integral over alpha[f(x)/(x-a)^3 dx]
|Feb28-07, 03:19 AM||#2|
Blog Entries: 9
Since an integration involves limits, and switching the order of taking limits is a tricky business, i'd say that you could do the permutation, as long as there's no infinity (or no indeterminate expression under the limit sign) involved...My guess...
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