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Chapter 1: Q. 1 (page 153)

Calculating limits: Find each limit by hand.

limx鈫�03x-4.

Short Answer

Expert verified

The value of this limit is鈭�.

Step by step solution

01

Step 1. Given Information.

Given:limx鈫�03x-4.

02

Step 2. Calculating the limit using direct substitution.

Solving,limx鈫�03x-4=3脳-4=304=30=鈭�.

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Most popular questions from this chapter

Calculate each of the limits:

limh鈫�0(3+h)2-32h.

Calculate each of the limits:

limh鈫�0(2+h)2-22h.

For each limit statement in Exercises 41-44, use algebra to find 未or Nin terms of 蔚or M, according to the appropriate formal limit definition.

limx鈫�1-11-x=鈭�, find未in terms ofM.

Use algebra to find the largest possible value of 未 or smallest possible value of N that makes each implication true. Then verify and support your answers with labeled graphs.
Ifx>N, then1鈭�2x<鈭�500

For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

limx鈫�-5x.
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