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Math 1325 problem im stuck on

Math 1325 Problem Im Stuck On class=

Sagot :

Using limits, the average cost when printing an increasing large number is of $115.

How to solve a limit when x goes to infinity?

When x goes to infinity and we want to solve the limit, we consider only the term with the highest degree. If we have a fraction, as is the case in this problem, we consider the terms with the highest degree of the numerator and of the denominator.

For this problem, the cost function is:

[tex]C(x) = \frac{450 + 115x}{x}[/tex]

The terms with largest degree are the multipliers of x, with degree 1, hence the limit is given as follows:

[tex]\lim_{x \rightarrow \infty} C(x) = \lim_{x \rightarrow \infty} \frac{450 + 115x}{x} = \lim_{x \rightarrow \infty} \frac{150x}{x} = 150[/tex]

Hence the average cost when printing an increasing large number is of $115.

More can be learned about limits at https://brainly.com/question/26270080

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