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Chapter 1: Q. 21 (page 153)

Limits of combinations: Fill in the blanks to complete the limit

rules that follow. You may assume that k and c are any real

numbers and that both limx鈫�cf(x)andlimx鈫�cg(x)exist.

limkx鈫�cf(x)=_______

Short Answer

Expert verified

The value of the limit islimkx鈫�cf(x)=klimx鈫�cf(x).

Step by step solution

01

Step 1. Given Information. 

The given limit function is limkx鈫�cf(x).

02

Step 2. Filling the blank.

To fill the blank, use the Constant Multiple Rule of limits.

So,

limkx鈫�cf(x)=klimx鈫�cf(x).

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Write each of the inequalities in interval notation:

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