Show steps in determining if this series diverges or converges.
Sum from n=0 to infinity of ((5n^3)^(1/2))/(4n^2+5n+3)
I know it diverges by the comparison test but what are the steps to proving it?

Question

Show steps in determining if this series diverges or converges. 
Sum from n=0 to infinity of ((5n^3)^(1/2))/(4n^2+5n+3) 
I know it diverges by the comparison test but what are the steps to proving it?

anonymous · Answer

you have to set  the equation of the comparison test you are using, what did you compare it to ?

anonymous · Answer

you prob compared it to a p series so p=1/2 diverges like you said than to prove that you take the equation and set it up to|dw:1354664808104:dw| the theory is if that smaller number diverges than so will your equation