/*! 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. 45 Calculate each of the limits in ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q. 45 (page 136)

Calculate each of the limits in Exercises 29-70.

limh鈫�01+h2-1h.

Short Answer

Expert verified

The value oflimh鈫�01+h2-1his,2.

Step by step solution

01

Step 1. Given information

limh鈫�01+h2-1h.

02

Step 2. The limit is calculated as below:

limh鈫�01+h2-1h=limh鈫�0(1+h+1)(1+h-1)h=limh鈫�0(2+h)(h)h=limh鈫�0(2+h)

=limh鈫�0(2)+limh鈫�0(h)[Sum rule]

=2+0=2

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

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

limx鈫�-31-x=4.

Calculate each of the limits:

limx鈫�01sec-1x.

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�-5(3x-2).

For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities:

Write a delta鈥揺psilon proof that proves that fis continuous on its domain. In each case, you will need to assume that 未 is less than or equal to 1.

f(x)=x3
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

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.