# Math Help - test for convergence or divergence

1. ## test for convergence or divergence

What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.

thanks
-mikke

2. Originally Posted by johntuan
What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.
The root test? $\sqrt[n]{{\frac{{\left( {2n + 1} \right)^n }}
{{n^{2n} }}}} = \frac{{2n + 1}}{{n^2 }}$
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3. Originally Posted by johntuan
What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.

thanks
-mikke
nth root test

4. ahh thanks...makes sense

5. Originally Posted by johntuan
What test should i use for this function [(2n+1)^n]/n^2n. You dont have to solve it, just tell me which one is the easiest test for this function.

thanks
-mikke
I'd use the nth root test: Root Test

6. btw the answer is converge right?

7. Originally Posted by johntuan
btw the answer is converge right?
why?

8. limit goes to zero.

9. Originally Posted by johntuan
limit goes to zero.
muy bien.