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Mathematics 70 Online
OpenStudy (anonymous):

Consider the improper integral from 2 to infinite [x^2 dx] / [(x-1)^2 * (x+3)] a) Decide directly from the defi nition whether this integral converges or diverges. b) Use the limit comparison theorem to decide whether this integral converges or diverges.

OpenStudy (anonymous):

a) The integral does not converge by computation. b) you can use limit comparison of the integrand to something like 1/x to show the same thing.

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