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Question 3

A) In your own words, identify and provide an explaination for the following below:

f '(x) = lim f(x +h)-f(x)

h

h-0

25 points

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B) Given the real-world application below, determine the following:

A company's total sales (in millions of dollars) f months from now are given by S(t)=√t +2. In your own words, find and interpret S(20) and S (20). Use

these results to estimate the total sales after 24 months and after 25 months.

Fig: 1