/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 20 Use a calculator or other graphi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q. 20 (page 87)

Use a calculator or other graphing utility to investigate the graph f(x)=xsin1xnear x = 0. Be sure to have your calculator set to radian mode. Use the graphs to make an educated guess forlimx鈫�0鈥�f(x).

Short Answer

Expert verified

f(x) is undefined near x=0

Step by step solution

01

Step 1. Given information.

We have been given a function f(x)=xsin1x.

We have to use a calculator or other graphing utility to investigate the graph of the function near x = 0.

02

Step 2. Graph the function

Function is :

f(x)=xsin1x

The graph is :

We can see that at x=0 is not defined.

03

Step 3. Solving the limit expression. 

Solving the limit expression,

limx鈫�0鈥�f(x)=limx鈫�0鈥�xsin鈦�1x=0sin鈦�10=0sin鈦�(鈭�)

= undefined

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

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�-5x.

For each functionf graphed in Exercises23鈥�26, describe the intervals on whichf is continuous. For each discontinuity off, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.

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�-16.

For each limit statement , use algebra to find 未 > 0 in terms of 蔚> 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < 蔚.

limx鈫�3(x2-2x-3)=0;youmayassume未鈮�1

Use the delta-epsilon definition of continuity to argue that f is or is not continuous at the indicated point x=c.

f(x)=2鈭�x,鈥呪赌呪赌呪赌�ifxrationalx2,鈥呪赌呪赌呪赌�ifxirrational,c=2
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

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.