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Chapter 1: Q. 41 (page 136)

Calculate each of the limits in Exercises 29-70.

limx鈫�1+x-1x-1.

Short Answer

Expert verified

The value oflimx鈫�1+x-1x-1is,0.

Step by step solution

01

Step 1. Given information

limx鈫�1+x-1x-1.

02

Step 2. The limit is calculated as below:

limx鈫�1+x-1x-1=limx鈫�1+(x-1)x-1x-1.x-1=limx鈫�1+(x-1)x-1x-1=limx鈫�1+x-1=1-1=0=0

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Most popular questions from this chapter

For each limit statement , use algebra to find 未 > 0 in terms of 蔚> 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < 蔚.

limx鈫�21x=12;youmayassume未鈮�1

Write each of the inequalities in interval notation:

0<|x+3|<0.05

For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities:

State what it means for a function f to be right continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.

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.
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