Prove from the definition that the sequences of the form

(An + B)/(Cn^2 + D)

where A,B,C,D 2 R,C > 0,D 0

are all convergent.

Don't really know where to go with this...my teacher didn't explain how to prove convergence well, so I'm pretty stuck

All I have is that I should prove by showing there exists a G st. for all epsilon > 0 there is an N > 0 st. for all n>N |(An+B)/(Cn^2+D) -G| < epsilon