calculus
posted by sarah .
for each series determine if the series is absolutely convergent and convergent
the sum from 0 to infinity of (1)^n/(the square root of (n+1))
I did the ratio test and got 1, which is less than 0 making it absolutely convergent, but do i need to take the absolute value of 1? which would then make the test inconclusive?

calculus 
Count Iblis
Yes, you need to take the absolute value of everything, so you get 1 which is inconclusive. If you do the integral test, you find that it diverges.
Respond to this Question
Similar Questions

calculus
determine if the series is absolutely convergent and convergent. the sum from n=0 to infinity of ((1)^n*e^n)/(n!) I used the ratio test and said that it was absolutely convergent and convergent. is this true? 
calculus
determine if the series is absolutely convergent and convergent. the sum from n=0 to infinity of ((1)^n*e^n)/(n!) I used the ratio test and said that it was absolutely convergent and convergent. is this true? 
calculus
for the series is absolutely convergent and convergent the series from 1 to infinity of (x^3)/(5^x) i did the ration test and get absolutely convergent and convergent is this correct? 
calculus
for each series determine if the series is absolutely convergent and convergent the sum from 0 to infinity of (1)^n/(the square root of (n+1)) 
calculus
determine if the series is absolutely convergent and convergent the sum from n=1 to infinity of sin(n^2)/n^2 what series test should I use and how? 
calculus
for the series is absolutely convergent and convergent the series from 1 to infinity of (x^3)/(5^x) i did the ration test and get absolutely convergent and convergent is this correct? 
calculus
Is this correct? determine if absolutely convergent and convergent 1. the series from n=0 to infinity of ((1)^n)/n! I said it was abs. conv, and therefore conv 2. the series from n=0 to infinity of (1)^n/(the square root of (n^2+n+1)) 
please help with calculus thank you!
Is this correct? determine if absolutely convergent and convergent 1. the series from n=0 to infinity of ((1)^n)/n! I said it was abs. conv, and therefore conv 2. the series from n=0 to infinity of (1)^n/(the square root of (n^2+n+1)) 
calculusrepostthanks
Is this correct? determine if absolutely convergent and convergent 1. the series from n=0 to infinity of ((1)^n)/n! I said it was abs. conv, and therefore conv 2. the series from n=0 to infinity of (1)^n/(the square root of (n^2+n+1)) 
Calculus
Show that the following series is absolutely convergent: Summation from 1 to infinity: [(1)^n * (n+1) * 3^n]/ [2^(2n+1)] I've done the ratio test and replaced n in this series with n+1. I get 3/4 in the end, which is less than 1, …