Chapter 9.1, Problem 60E

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Advertising and sales Sales y (in thousands of dollars) are related to advertising expenses x (in thousands of dollars) according to y = y ( x ) = 200 x x + 10 , x ≥ 0 (a) Find lim x → 10 y ( x ) .(b) Find lim x → 0 − y ( x ) .

(a)

To determine

To calculate: The value of the limit limx10y(x) where y(x)=200xx+10.

Explanation

Given Information:

The limit is limxâ†’10y(x). Sales y (in thousands of dollars) are related to advertising expenses x (in thousands of dollars), according to y(x)=200xx+10.

Formula used:

For a polynomial function f(x)=anxn+anâˆ’1xnâˆ’1+â‹¯+a1x+a0 where anâ‰ 0 and n is a positive integer,

limxâ†’cf(x)=f(c)

This is defined for all values of c

(b)

To determine

To calculate: The value of the limit limx0y(x) where y(x)=200xx+10.

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