calculus
posted by sarah
determine whether the series converges of diverges
the sum from n=1 to infinity of
1/(the square root of (n^3+1))
I said that through the comparision test (comparing to 1/the square root of (n^3) the series converges
is this true?

Damon
That is a valid way to do it. Yes, every term is smaller than 1/n^3
Respond to this Question
Similar Questions

Calc
Does 1/ln(x+1) converge or diverge? I've tried the nth term test, limit comparison test, and integral test. All I get is inconclusive. The other tests I have (geometric series, pseries, telescoping series, alternating series, and 
Calculus
The problem with these two questions is that I cannot determine the a and r. The 3rd questionI don't know what I did wrong. Thanks for the help! Tell whether the series converges or diverges. If it converges, give its sum. infinity … 
calculus
determine whether the series converges of diverges the sum from n=1 to infinity of 1/(the square root of (n^3+1)) I said that through the comparision test (comparing to 1/the square root of (n^3) the series converges 
calculus
determine whether the series converges of diverges the sum from k=2 to infinity of (the square root of (ln(k)))/k I said that because you can't integrate the series (goes to infinity) it diverges 
calculus
determine whether the series converges of diverges the sum from k=2 to infinity of (the square root of (ln(k)))/k I said that because you can't integrate the series (goes to infinity) it diverges is this true? 
Calculus
Determine the following about the series. Indicate the test that was used and justify your answer. Sigma (lower index n = 1; upper index infinity) [sin((2n1)pi/2)]/n A. The series diverges B. The series converges conditionally. C. … 
calculus
Determine whether the given series converges or diverges, and find the sum if it converges. I don't understand, help!! Thnx! 1) 20+5+(5/4)+(5/16)+... 
Mathematics
State whether this infinite series converges or diverges? 
Calculus
Use the ratio test to find whether the series diverges or converges. 1/5^n (1 to infinity) I think the limit converges to 1/5, so the series converges. 
Calculus
Determine whether the series from 0 to infinity of cos(nπ)/(n + 3) converges conditionally or absolutely. A. The series diverges. B. The series converges conditionally but not absolutely. C. The series converges absolutely but not …