Use a comparison test to determine whether the series \sum (n+1)/(n^{2}+n+1) diverges or converges.
I started out by simplifying the series to 1/n+1 and then from there I compared it to 1/n, which converges. 1/n is greater than 1/n+1 so based on the comparison test, the original series...
The full question is to find the integral over infinity and 2, so i have to use limits. I am getting an undefined answer since ln of infinity minus ln infinity is undefined. does that sound right?
Thanks! partial fractions worked! didn't even think about that. the solution came out to be -ln(x+1)+ln(x-1), which is apparently equal to -ln((x+1)/(x-1))
Integral of 2/(x^2-1)dx HELP!
Homework Statement
Evaluate: ∫2/(x2-1)dx
Homework Equations
Inverse trig functions arent working.
∫1/x+1dx=ln(1+x)
The Attempt at a Solution
My tutor and i both attemped the solution many ways, and are still at a stand still.
According to...