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Chapter 10: Q. 28 (page 777)

Calculate the limits in Exercises 25-28, using only the continuity of linear and power functions and the limit rules. Cite each limit rule that you apply.

localid="1648227587052" limx鈫�032x2-4x+1.

Short Answer

Expert verified

The value of limx鈫�032x2-4x+1is,3.

Step by step solution

01

Step 1. Given information

limx鈫�032x2-4x+1.

02

Step 2. The limit is calculated as below,

limx鈫�032x2-4x+1=limx鈫�03limx鈫�0(2x2-4x+1)[Quotient rule]

=limx鈫�03limx鈫�0(2x2)-limx鈫�04x+limx鈫�0(1)[Sum rule]

=3(2路0)-(4路0)+1=31=3

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Most popular questions from this chapter

In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.

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