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Chapter 1: Q. 40 (page 149)

Calculate each limit in Exercises 35-80.

limx鈫�鈭�x4-x5

Short Answer

Expert verified

The limit of the function islimx鈫�鈭�x4-x5=-鈭�.

Step by step solution

01

Step 1. Given information.

We have:

limx鈫�鈭�x4-x5

02

Step 2. Find the limits.

The function is limx鈫�鈭�x4-x5.

Apply infinity property: limx鈫�鈭�axn+鈰�+bx+c=-鈭�,鈥�a<0,鈥�n鈥�is鈥�odd

a=-1,鈥�n=5=-鈭�

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Most popular questions from this chapter

Write each of the inequalities in interval notation:

0<|x+3|<0.05

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f(x)=x鈭�2

limx鈫�11-cos(x-1)x

limx鈫�02xex-1

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

limx鈫�0x-3.
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