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Chapter 1: Q. 11 (page 153)

Limits of basic functions: Fill in the blanks to complete the limit rules that follow. You may assume that k is positive

limx鈫�鈭�2x=?.

Short Answer

Expert verified

The value of the limit is鈭�.

Step by step solution

01

Step 1. Given Information.

The given limit function islimx鈫�鈭�2x.

02

Step 2. Value of the limit.

The given limit can be written as,

=limx鈫�鈭�2x=2鈭�=鈭�

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Most popular questions from this chapter

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

Calculate each of the limits:

limh鈫�0(-1+h)3-(-1)3h.

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�-1x.

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�0(5x2-1)=-1

Each function in Exercises 9鈥�12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.

limx鈫�2-f(x)=-鈭�,limx鈫�2+f(x)=鈭�,f(2)=3.
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