Feb 15, 2013
Determine whether or not each of the following improper integrals converges.
Recall the comparison property for definite integrals: If f(x) ≤ g(x) for all x in [a,b] then .
This property is very useful in determining whether some improper integrals converge too:
Use a well chosen comparison to determine whether each of the following integrals converges or diverges:
Compare to compare to
Explain why a comparison with will not help you to determine whether converges or not.
(hint: which is larger? Why is that a problem?)
Does converge? Justify your answer!
(hint: it does, but even though the previous comparison doesn’t help, another well chosen one might)