Hy, It's suppose to be simple one, but I really dont know how to start and what test should I apply. ((2n+1)^n)/(n^(2n)) Should I work on ((2n+1)/(n^2))^n?
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ratio and nth root tests scroll down to the nth root test section + examples
Thanx
The ratio test also works.
Originally Posted by Prove It The ratio test also works. I have tried the ratio test, but putting n+1 instead of every n made it so complicated and stuff didn't cancel to me, I probably do it wrong.
Originally Posted by shaharg I have tried the ratio test, but putting n+1 instead of every n made it so complicated and stuff didn't cancel to me, I probably do it wrong. The root test is really simple. $\displaystyle \sqrt[n]{{\frac{{{{\left( {2n + 1} \right)}^n}}}{{{n^{2n}}}}}} = \frac{{2n + 1}}{{{n^2}}} \to 0$
Originally Posted by Plato The root test is really simple. $\displaystyle \sqrt[n]{{\frac{{{{\left( {2n + 1} \right)}^n}}}{{{n^{2n}}}}}} = \frac{{2n + 1}}{{{n^2}}} \to 0$ Yes it is simple. I appreciate your effort. Thanx a lot.
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