Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Q. 4 (page 135)

Explain in your own words the types of functions whose limits we can calculate with the limit rules in this section.

Short Answer

Expert verified

The limit expressions can be calculated if all algebraic functions are continuous on their domains.

Step by step solution

01

Step 1. Given information.

We need to explain the types of functions whose limits we can calculate with the limit rules in this section.

02

Step 2. Statement.

The limit expressions can be calculated if all algebraic functions are continuous on their domains.

In particular, if x=c is in the domain of an algebraic function f, then we can calculate limx→cf(x) by evaluating f(c).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

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.

Sketch a labeled graph of a function that fails to satisfy the hypothesis of the Intermediate Value Theorem, and illustrate on your graph that the conclusion of the Intermediate Value Theorem does not necessarily hold.

limx→0ex-1e2x+2ex-3

For each limit statement , use algebra to find δ > 0 in terms of ε> 0 so that if 0 < |x − c| < δ, then | f(x) − L| < ε.

limx→31x=13;youmayassumeδ≤1

Calculate each of the limits:

limx→01sec-1x.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free