   Chapter 2.4, Problem 41E

Chapter
Section
Textbook Problem

How close to –3 do we have to take x so that 1 ( x + 3 ) 4 > 10 , 000

To determine

To find: The distance of x close to −3 such that 1(x+3)4>10,000.

Explanation

Obtain the distance of x close to −3 such that 1(x+3)4>10,000.

That is, to find a number δ if |x(3)|<δ but x3 so that 1(x+3)4>10,000.

Consider 1(x+3)4>10,000.

1(x+3)4>10,000(x+3)4<110,000(x(3))4<110,000|x(3)|4<110,000

Take fourth root

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