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

Tangents, case 2:when center is not known proof

case 2:when center is not known proof

Undetermined coefficients, In this section we will see the first method whi...

In this section we will see the first method which can be used to find an exact solution to a nonhomogeneous differential equation. y′′ + p (t ) y′ + q (t ) y = g (t) One of

Reduction of order, We're here going to take a brief detour and notice solu...

We're here going to take a brief detour and notice solutions to non-constant coefficient, second order differential equations of the form. p (t) y′′ + q (t ) y′ + r (t ) y = 0

Unitary Method Sample Questions, Where can I find sample questions of Unita...

Where can I find sample questions of Unitary Method for kids to practice? I need  Unitary Method  study material if availbale here on website, i found there is very useful material

Find the sum of all 3 digit numbers which leave remainder 3, Find the sum o...

Find the sum of all 3 digit numbers which leave remainder 3 when divided by 5. Ans:    103, 108..........998   a + (n-1)d = 998

Homotopy, prove same homotopy type is an equivalent relation

prove same homotopy type is an equivalent relation

Integration techniques, Integration Techniques In this section we are ...

Integration Techniques In this section we are going to be looking at several integration techniques and methods. There are a fair number of integration techniques and some wil

Determine the optimal strategy, On a picnic outing, 2 two-person teams are ...

On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two peoples of the hiding team can hideseparately in any

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