I have such a problem:

Given that lim x->a f(x) = 0, lim x->a g(x) = 0, lim x->a h(x) = 1, lim x->a p(x) = INF, lim x->a q(x) = INF,

Evaluate these limits:

Lim x->a f(x)/g(x) =Lim x->a f(x)/p(x) =Lim x->a h(x)/p(x) =Lim x->a p(x)/f(x) =Lim x->a p(x)/q(x) =

I have to mention which of these limits are indeterminate forms, positive INF, Negative INF, or the limit does not exist(DNE)or we don’t have enough info to determine the limit.

Lim x->a f(x)/g(x) = 0/0, (DNE)Lim x->a f(x)/p(x) = 0/INF, (Indeterminate form)Lim x->a h(x)/p(x) = 1/INF, (positive infinitive)Lim x->a p(x)/f(x) = INF/0, (Indeterminate form)Lim x->a p(x)/q(x) = INF/INF, (DNE)

I'm not quite sure in my reasoning so I need your input, thanks