<p>Infinity is an absolute value, it cannot be used as a coefficient to measure the relationship between two sets/variables as we are doing right now.</p>
<p>Let |N| = lim -> oo, and |Z| = 2|N|+1;
|Z|/|N| = 2(|N|)/(|N|) + (lim->oo)^-1, which gives us 2. Given that |Z| is twice that of |N|, we have to say that Z is the larger set.</p>