does this integral converge or diverge? a) int from 0 to infinity of e^(-x)/sqrroot(x) b) int from o to pi/2 of 1/sqroot(sec(x)-1))
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For the first one, split it into two pieces: The first one converges by simple limit comparison test with the second one just require a simple bound to determine its convergence. I'll let you to figure out.
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