Answer:
Diverges
Step-by-step explanation:
For the improper integral to converge the limit must exist, if the limit does not exist or is infinite the integral diverges;
[tex]\int\limits^a_b {(2x+4)/x^2+4x+5} \, dx[/tex]#
Where a and be is infinity
The solution of this is infinity and therefore the integral diverges because the first expression is undefined because ∞/∞, the second term is 4·∞ which is infinity and infinity added to any number is infinity
