Can anyone give an $\displaystyle \epsilon$ - N proof that the sequence:

xn = $\displaystyle {\frac {2\,{n}^{2}+3}{4\,{n}^{2}+1}} $

tends to 1/2?

Also more generally, give the $\displaystyle \epsilon$ - N proof that the sequence {xn} n=1... infinity tends to x