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?

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 whether the series converges of diverges the sum from k=1 to infinity of sin(e^k) I'm not sure where to start.. 
calculus
determine whether the series converges of diverges the sum from k=1 to infinity of cos(e^k) I'm not sure where to start.. 
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?