<p>I think you’re wrong. The one which had a higher degree on the numerator would have tended to infinity as n tended to infinity. I think the answer should have had equal degrees on the numerator and denominator (1st degree in this case) and [coefficient of n on the numerator]/[coefficient of n on the denominator] = 2.</p>
<p>IIRC the answer you’re describing had an asymptote that approached 2 but not as n approached infinity. Or something like that.</p>
<p>@IMTLD1 - That’s what I got as well. I don’t know what calculus he used to ‘know the trickery in it’. Differentiating pretty clearly shows his example tends to infinity with n, although there’s no need to resort to calculus on a question like this.</p>
<p>EDIT: Didn’t see KaranMIT’s reply. I can relate because I made a careless mistake with the triangle under sin curve question.</p>