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1. Is 1/(√(2n-1) convergent?

2. I have tried the first comparison test: a

I have tried the second comparson test and let b

I have tried the ratio test but the lim

I have tried the root test but limsup

3. I have run out of options! Can anyone offer a hint as to what I should try next? Perhaps a different b

2. I have tried the first comparison test: a

_{n}= 1/(√(2n-1) and b_{n}=1/(n^{1/2}. 0<=a_{n}<=b_{n}. But b_{n}diverges so we get no information.I have tried the second comparson test and let b

_{n}=1/n. But a_{n}/b_{n}=∞ so once again I get no information.I have tried the ratio test but the lim

_{n→∞}a_{n+1}/a_{n}=1 so I get no information.I have tried the root test but limsup

_{n→∞}a_{n}=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 b

_{n}for the first comparison test?
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