   Chapter 2, Problem 10RE

Chapter
Section
Textbook Problem

Find the limit. lim v → 4 + 4 − v | 4 − v |

To determine

To find: The value of limv4+(4v|4v|).

Explanation

Definition used:

An absolute function |x| is defined as follows.

|x|={x if x<0x if x0

Direct substitution property:

If f is a polynomial or a rational function and a is in the domain of f, then limxaf(x)=f(a).

Calculation:

Let f(v)=4v|4v|.

Use the definition of absolute value function to define the function |4v|,

|4v|={4vif 4v0(4v)if 4v<0={4vif v4(4v)if v>

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