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Chapter 1: Q. 50 (page 149)

Calculate each limit in Exercises 35鈥�80.

limx鈫�-鈭�1-2x2(3-x)(3+4x)

Short Answer

Expert verified

The limit is12

Step by step solution

01

Step 1. Given Information:

Given expression: limx鈫�-鈭�1-2x2(3-x)(3+4x)

We want to find limit of given expression.

02

Step 2. Solution:

Simplify the denominator we get

limx鈫�-鈭�1-2x2(3-x)(3+4x)=limx鈫�-鈭�1-2x29+9x-4x2

Now take x2 common form numerator and denominator and simplify we get

role="math" localid="1648190481005" limx鈫�-鈭�1-2x29+9x-4x2=limx鈫�-鈭�x2(1x2-2)x2(9x2+9x-4)=limx鈫�-鈭�1x2-29x2+9x-4

Now take limit we get

limx鈫�-鈭�1-鈭�2-29-鈭�2+9鈭�-4=limx鈫�-鈭�-2-4=limx鈫�-鈭�42=12

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Most popular questions from this chapter

Sketch the graph of a function f described in Exercises 27鈥�32, if possible. If it is not possible, explain why not.

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For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

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