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Chapter 1: Q. 32 (page 135)

Calculate each of the limits in Exercises 29-70.

limx鈫�1.73.1x2-4x+0.8.

Short Answer

Expert verified

The value oflimx鈫�1.73.1x2-4x+0.8is,2.959.

Step by step solution

01

Step 1. Given information

limx鈫�1.73.1x2-4x+0.8.

02

Step 2. The limit is calculated as below:

limx鈫�1.73.1x2-4x+0.8=limx鈫�1.7(3.1x2)-limx鈫�1.7(4x)+limx鈫�1.7(0.8)[Sum rule]

=3.1limx鈫�1.7x2-4limx鈫�1.7x+0.8[Constant multiple rule]

=3.11.72-41.7+0.8=3.12.89-6.8+0.8=8.959-6.0=2.959

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