Evaluate the limits below where possible

Question

(4)

Given that

1. lim x→a f(x) = 0
2. lim x→a g(x) = 0
3. lim x→a h(x) = 1
4. lim x→a p(x) = ∞
5. lim x→a q(x) = ∞,

evaluate if the following limits not are indeterminate forms. (If a limit is indeterminate, enter INDETERMINATE.)

a) f(x)/g(x)

b)f(x)/p(x)

c)h(x)/p(x)

d)p(x)/q(x)

Answer 1

a) INDETERMINATE, 0/0

b) 0/infinity = 0

c) 1/infinity = 0

d) INDETERMINATE, infinity/infinity