1. Is 1/(√(2n-1) convergent? 2. I have tried the first comparison test: an= 1/(√(2n-1) and bn=1/(n1/2. 0<=an<=bn. But bn diverges so we get no information. I have tried the second comparson test and let bn=1/n. But an/bn=∞ so once again I get no information. I have tried the ratio test but the limn→∞an+1/an=1 so I get no information. I have tried the root test but limsupn→∞an=1 so I get no information.. 3. I have run out of options! Can anyone offer a hint as to what I should try next? Perhaps a different bn for the first comparison test?