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Chapter 1: Q. 17 (page 153)

Consider the limit expression

limx鈫�鈭�-2x3+x2-10

Calculate the limit.

Short Answer

Expert verified

The limit of the expression is 鈭�.

Step by step solution

01

Step 1. Given information

The given expression is

limx鈫�鈭�-2x3+x2-10

02

Step 2. Calculation

The evaluated expression is

limx鈫�鈭�-2x3+x2-10=limx鈫�鈭�-2x3+limx鈫�鈭�x2-limx鈫�鈭�(10)=-2(鈭�)3+(鈭�)2-10鈭�.

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Most popular questions from this chapter

Write each of the inequalities in interval notation:

x2-1+3<0.5

Each function in Exercises 9鈥�12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.

limx鈫�-1-f(x)=2,limx鈫�-1+f(x)=2,f(-1)=1.

Calculate each of the limits:

limh鈫�0(1+h)3-13h.

Write each of the inequalities in interval notation:

0<|x+3|<0.05

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�3x4.
See all solutions

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