Convergence or Divergence? 1/(sqrtN(1+sqrtN) and n=1 to infinity, ...

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korth0221

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How would I solve the following problems in determining whether they are converging or diverging:

  • 1/(sqrtN(1+sqrtN) and n=1 to infinity
  • (2n^2-1)/(3n^5+2n+1) and n=0 to infinity
  • (-1^(n+1))/(n+2) and n=1 to infinity
  • (3^n)/n! and n=1 to infinity
  • ((ln(n))/n)^n and n=1 to infinity


If you can show some work that would be excellent. It would be great if you guys can help answer these questions, as very similar ones will be on my calculus 2 final. Thank you so much!
 
korth0221 said:
How would I solve the following problems in determining whether they are converging or diverging:

  • 1/(sqrtN(1+sqrtN) and n=1 to infinity
  • (2n^2-1)/(3n^5+2n+1) and n=0 to infinity
  • (-1^(n+1))/(n+2) and n=1 to infinity
  • (3^n)/n! and n=1 to infinity
  • ((ln(n))/n)^n and n=1 to infinity


If you can show some work that would be excellent. It would be great if you guys can help answer these questions, as very similar ones will be on my calculus 2 final. Thank you so much!
Click to expand...
What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33
 
I know that the first two should use the limit comparison test but I don't understand how to apply the concepts to the problem. Third is alternating, fourth is ratio, and fifth is nth root test. I just have no understanding how to apply the concepts to get the answer at all.
 
korth0221 said:
I know that the first two should use the limit comparison test but I don't understand how to apply the concepts to the problem. Third is alternating, fourth is ratio, and fifth is nth root test. I just have no understanding how to apply the concepts to get the answer at all.
Click to expand...
I'm not sure what you mean by "applying the concepts". For instance, to use the ratio test, you create a ratio, plugging in the givens, and then simplify. Then you make a determination, based on your result.

Please reply showing your efforts so far, so we can try to figure out where you're getting stuck. Thank you! ;)
 
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