Working definition of limit - sequences and series, Mathematics

Assignment Help:

Working Definition of Limit

1. We state that

2433_Working Definition of Limit - sequences and series 1.png

if we can create an as close to L like we want for all adequately large n.  Alternatively, the value of the an's approach L because n approaches infinity.

2. We define that

1591_Working Definition of Limit - sequences and series 2.png

Determine if we can make an as large as we wish for all sufficiently large n.  Once again, alternatively, the value of the an's get larger and larger withno bound as n approaches infinity.

3.   We define that

2421_Working Definition of Limit - sequences and series 3.png

Whether, we can make an as large and negative as we wish for all sufficiently large n.  Once again, in other words, the value of the an's are negative and obtain larger and larger without bound because n approaches infinity.


Related Discussions:- Working definition of limit - sequences and series

Java program for sorting algorithms, Introduction: In this project, yo...

Introduction: In this project, you will explore a few sorting algorithms. You will also test their efficiency by both timing how long a given sorting operation takes and count

Introduction to learning to count, INTRODUCTION : Most of us, when plannin...

INTRODUCTION : Most of us, when planning the first mathematical experience for three-year olds, think in terms of helping them memorise numbers from 1 to 20. We also teach them to

Math, a business is owned by three people.the first owns 1/12 of the busine...

a business is owned by three people.the first owns 1/12 of the business and the second owns 1/6 of the business. what fractional part of the business is owned by the third person

LINEAR PROGRAMMING, Richland Health has three hospitals in the greater Tamp...

Richland Health has three hospitals in the greater Tampa, Florida area. Demand for patient services varies considerably during the fall and winter months due to the temporary influ

Radius of convergence - sequences and series, Radius of Convergence We ...

Radius of Convergence We will be capable to illustrate that there is a number R so that the power series will converge for, |x - a| R.  This number is known as the radius of

Multiplication example, Example  Multiply 3x 5 + 4x 3 + 2x - 1 ...

Example  Multiply 3x 5 + 4x 3 + 2x - 1 and x 4 + 2x 2 + 4. The product is given by 3x 5 . (x 4 + 2x 2 + 4) + 4x 3 . (x 4 + 2x 2 + 4) + 2x .

Evaluate the volume of cylinder, If the diameter of a right cylinder is dou...

If the diameter of a right cylinder is doubled and the height is tripled, its volume is a. multiplied by 12. b. multiplied by 2. c. multiplied by 6 d. multiplied by 3.

Logic, INSTRUCTIONS: Construct a regular proof to derive the conclusion of ...

INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument: 1. H v (~T > R) 2. Hv (E > F) 3. ~T v E 4. ~H & D / R v F INSTRUCTIONS: Con

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd