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Chapter 14: Q. 19 (page 883)

In Problems 7鈥� 42, find each limit algebraically

limx鈫�15x4-3x2+6x-9

Short Answer

Expert verified

The value of the limitlimx鈫�15x4-3x2+6x-9=-1

Step by step solution

01

Step 1. Given Information

The given limit function islimx鈫�15x4-3x2+6x-9

We need to find the value of the limit.

02

Step 2. Expanding the limit

We know,

limx鈫�c[f(x)-g(x)]=limx鈫�cf(x)-limx鈫�cg(x)

Therefore,

limx鈫�15x4-3x2+6x-9=limx鈫�15x4-limx鈫�13x2+limx鈫�16x-limx鈫�19

03

Step 3. Value of the limit

The simplified expression is

limx鈫�15x4-limx鈫�13x2+limx鈫�16x-limx鈫�19={5脳(1)4}-{3(1)2}}+6(1)-9=5-3+6-9=-1

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Most popular questions from this chapter

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