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) = ∞ lim x→a q(x) = ∞, evaluate the limits below where possible. (if a limit is indeterminate, enter indeterminate.) (a) lim x→a [f(x) − p(x)] (b) lim x→a [p(x) − q(x)] (c) lim x→a [p(x) + q(x)]

Using limit properties, it is found that:

a)

b) Undetermined.

c)

In this problem, the property considered is:

Item a:

Item b:

Then undetermined.

Item c:

A similar problem is given at link

(a)  

(b)  

(c)  

Step-by-step explanation:

We are given,

Evaluate the limit:

(a)

Using limit property, Distribute the limit

(b)

Using limit property, Distribute the limit

Because difference of two infinity might be finite or infinite.

(c)

Using limit property, Distribute the limit