Answer these Convergence of Series Questions correctly and earn best answer!?

Question

Use the integral test to determine whether the series below converges or diverges. What values does the integral test yield?

1) Infinity(Sigma)n=0 (11)/((n^2)+49)
2) Infinity(Sigma)n=2 (1)/(n)(ln(n))^2
3) Infinity(Sigma)n=2 (3)/(4n-1)^2

Does the series converge or diverge?

Answer 1

1) is of the same class as 1/n^2 as their quotient has lim =11
convergent
2) Int 1/xln^2xdx =-1/ln x +C convergent
3) The same as 1) but you can do it like
1/3Int 1/(4x-1)^2dx = -1/12*1/(4x-3) convergent