the answer book gives us is convergence but i think it diverges in (0,1) so can anyone help me to solve the problem? show it!
Last edited by chialin4; Jan 27th 2010 at 07:10 PM.
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for x < 1 ln(1+x) < 1 and 1/(x^(1/2) +x^2) < 1/(x^(1/2) ln(1+x)/[(x^(1/2) +x^2)] < 1/(x^)1/2)) the integral [1/(x^)1/2))]dx can easily be shown to converge on (0,1]
Originally Posted by Calculus26 for x < 1 ln(1+x) < 1 and 1/(x^(1/2) +x^2) < 1/(x^(1/2) ln(1+x)/[(x^(1/2) +x^2)] < 1/(x^)1/2)) the integral [1/(x^)1/2))]dx can easily be shown to converge on (0,1] thx for ur help!
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