Hey there! Having problems with a few of the exercises on some homework!
Do the integrals converge or diverge? If they converge, what is their value?
a) integral from 1 to infinity of ((x^3 + x)/((x^4 + 2x^2 + 2)))dx
b) integral from 0 to 2 of ln(x)dx
c)integral from zero to infinity of dx/(2x-1)
Also, prove, using the formal definition, that the sequence (5n+3)/(2n) from n=1 to infinity, converges.
My leads are, I am pretty sure b) and c) diverge, but I am not sure exactly! Also, I know the E-D def'n for the sequence but not how to apply it to convergence??