Limits at infinity? Find the limit, if possible

lim as x -> infinity (5x^(3/2))/(4x^2 + 1)

Help?

Divide top and bottom by x^2:

lim as x -> infinity (5x^(3/2))/(4x^2 + 1)
= lim as x -> infinity (5x^(3/2)/x^2)/(4 + 1/x^2)
= lim as x -> infinity (5x^(-1/2))/(4 + 1/x^2)
= lim as x -> infinity (5/x^(1/2))/(4 + 1/x^2)
= 0/(4 + 0)
= 0

Lord bless you today!