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Chapter 1: Q. 0 (page 86)

Read the section and make your own summary of material.

Short Answer

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The section describes the Limit, Limit at infinite, Infinite limit, Infinite limit at infinite, Left-hand limit, Right-hand limit, and vertical and horizontal asymptote of function.

Step by step solution

01

Step 1. Given information.

The given chapter name is An Intuitive Introduction to Limits.

02

Step 2. Summary.

Notation for Limits.

Limit:limx→cf(x)=L

Limit at infinite: limx→∞f(x)=L

Infinite limit: limx→cf(x)=∞

Infinite limit at infinite: limx→∞f(x)=∞

Left-hand limit:limx→c-f(x)=L

Right-hand limit: limx→c+f(x)=R

A function has a vertical asymptote at x=cfor the following conditions.

limx→c+f(x)=∞limx→c-f(x)=∞limx→c+f(x)=-∞limx→c-f(x)=-∞

A function has a horizontal asymptote at y=Lfor the following conditions.

limx→∞f(x)=Llimx→-∞f(x)=L

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Most popular questions from this chapter

Each function in Exercises 9–12 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→2-f(x)=2,limx→2+f(x)=1,f(2)=1.

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Write delta-epsilon proofs for each of the limit statements limx→cfx=Lin Exercises 47-60.

limx→12x+4=6.
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