Here below I have a problem set where I am asked to define the relationship between f(n) and g(n). I have added in my solutions but I wanted to get my answers checked by you guys before I turn this in. If you could let me know what solutions are wrong and give me an explanation as to why it's wrong that would be great. Thanks!
PS: My answers are on the left side.
d, h, j look wrong. Also there appears to be a typo in k, because $n$ does not appear in the the formula for $f(n)$. For d, take the ratio and use L'Hoptial's rule to compute the limit as $n \to \infty$. Almost the same with h, take the ratio and then take the limit as $n \to \infty$ (again using L'Hopital if necessary). For j I think you just made a typo.