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Chapter 1: Q. 23 (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→cf(x)andlimx→cg(x)exist.

limx→cf(x)-g(x)=______

Short Answer

Expert verified

The value of the limit islimx→cf(x)-g(x)=limx→cf(x)-limx→cg(x).

Step by step solution

01

Step 1. Given Information. 

The given limit function islimx→cf(x)-g(x).

02

Step 2. Filling the blank.

To fill the blank, use the Difference Rule of limits.

So,

limx→cf(x)-g(x)=limx→cf(x)-limx→cg(x).

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Most popular questions from this chapter

Write delta-epsilon proofs for each of the limit statements limx→cfx=Lin Exercises 47-60.

limx→12x+4=6.

In Exercises 39–44, use Theorem 1.16 and left and right limits to determine whether each function f is continuous at its break point(s). For each discontinuity of f, describe the type of discontinuity and any one-sided discontinuity.

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