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Chapter 1: Q. 2 (page 153)

Calculating limits: Find each limit by hand.

limx鈫�鈭�-2x-1/2.

Short Answer

Expert verified

The value of this limit is 0.

Step by step solution

01

Step 1. Given Information.

Given:limx鈫�鈭�-2x-1/2.

02

Step 2. Calculating the limit using direct substitution.

Solving,limx鈫�鈭�-2x-1/2=-2鈭�1/2=-2鈭�=-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�0(5x2-1)=-1

Write each of the inequalities in interval notation:

0<|x+3|<0.05

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

limx鈫�2x2-3x+2x-2=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�0-f(x)=-1,limx鈫�0+f(x)=1,f(0)=0.

Calculate each of the limits:

limh鈫�0(-1+h)3-(-1)3h.
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