|Feb8-09, 03:48 PM||#1|
1. The problem statement, all variables and given/known data
Determine if the integral converges or diverges?
it;s the integral of 0 to infinity
2. Relevant equations
so I compared it with 1/x^2
3. The attempt at a solution
the answer key says it converges but i think it diverges since the integral of 1/x^2 diverges from 0 to 1...
|Feb8-09, 04:17 PM||#2|
1/x^2 is WAY GREATER than 1/(1+x^6)^(1/2) near 0. In fact, the latter function is bounded on [0,1]. The fact 1/x^2 diverges near zero doesn't prove your function does.
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