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

the graph on the bottom right

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step-by-step explanation: