Question

C(x)=2.2+2500/x
Evaluate lim x->infinity

Answer 1

Ummm, think of the graph of 1/x. What happens as you approach larger and larger values of x. It is getting closer and closer to 0.

If that is confusing just think about a really large number and compare it to a small number.
if x=1, 2500/1 = 2500. As x gets bigger 2500/9999999 is close to 0.

So as x gets larger, 2500/x approaches 0.

So the limit of your function is 2.2 \c:/

Answer 2

It says the ans is 2.20. I'm just not sure how to get there. @zepdrix

Answer 3

The average cost/disc in dollars incurred by Herald Records in pressing x DVDs is given by average cost function
C(x)=2.2+2500/x
Evaluate lim x->infinity
@zepdrix

Answer 4

Hmm how to explain.. :d the 2500/x becomes less significant as x increases, since the value of 2500/x is getting smaller and smaller.

Eventually after enough discs have been made.. the equation is starting to look like this C(x) = 2.2 + 0