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Chapter 1: Q 78. (page 149)

Find the limit.

limx鈫�01+2x3x

Short Answer

Expert verified

Answer ise6

Step by step solution

01

Step 1. Given information

Limit function islimx鈫�01+2x3x

02

Step 2. Explanation

Take 2x=h

limx鈫�01+2x3x=limh鈫�01+h6h=limh鈫�01+h1h6=e6

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Most popular questions from this chapter

Calculate each of limits:

limx鈫�11sin-1x.

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

limx鈫�3x2-6x+11=2.

Write delta-epsilon proofs for each of the limit statements in Exercises 47鈥�60.

limx鈫�5+x-5=0

Find a formula for the cost Crof producing a gourmet soup can with radius rand height 5inches, and answer the following questions:

  1. What is the radius of a can that is 5inches tall and costs 30cents to produce?
  2. Your manager wants you to produce 5-inch-tall cans that cost between 20and 40cents. Write this requirement as an absolute value inequality.
  3. What range of radii would satisfy your manager? Write an absolute value inequality whose solution set lies inside this range of radii.

Write delta-epsilon proofs for each of the limit statements in Exercises 47鈥�60.

limx鈫�2x2-3x+2x-2=1
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