Use comparison theorem to see if the following converges.

integral from 1 to infinity:

5[((1+(x)^1/2)^1/2)/(x)^1/2]

or in words

5 [root(1+root x)]/root x

This is what I did.

comparison theorem states that for f(x) > g(x) for all x > a, if f(x) converges, so does g(x).

I set f(x) as 5 root (1+x)

is that right?