Divergence test - sequences and series, Mathematics

Assignment Help:

Divergence Test

765_Divergence Test - Sequences and Series 4.png

Once again, do NOT misuse this test.  This test only says that a series is definite to diverge if the series terms do not go to zero in the limit.  If the series terms do occur to go to zero the series might or might not converge! Once again, remind the following two series,

1544_Divergence Test - Sequences and Series 3.png

Very first, we need to introduce the plan of a rearrangement. A rearrangement of a series is similarly what it might sound like; it is similar series with the terms rearranged into a different order.

For instance, consider the following the infinite series.

192_Divergence Test - Sequences and Series 2.png

A rearrangement of this series is,

2012_Divergence Test - Sequences and Series 1.png

The issue we have the requirement to discuss here is that for some series each of these arrangements of terms can have different types of values in spite of the fact that they are using exactly similar terms.


Related Discussions:- Divergence test - sequences and series

Laws of set algebra, Laws of Set Algebra From the given Venn diagram w...

Laws of Set Algebra From the given Venn diagram where T is the universal set and A its subset that we can deduce a number of laws as: i. A υ Ø = A ii. A υ T = T

Find the middle term of the arithmetic progressions, Find the middle term o...

Find the middle term of the AP 1, 8, 15....505. A ns:    Middle terms a + (n-1)d = 505 a + (n-1)7 = 505 n - 1 = 504/7 n = 73 ∴ 37th term is middle term a 37

Areas related to circles in mensuration, AREAS  RELATED TO CIRCLES The...

AREAS  RELATED TO CIRCLES The  mathematical  sciences particularly  exhibit  order,  symmetry,  and limitation;  and  these  are the  greatest  forms  of the beautiful. In t

Analysis of algorithm running time - undirected graph, Problem. You are giv...

Problem. You are given an undirected graph G = (V,E) in which the edge weights are highly restricted. In particular, each edge has a positive integer weight of either {1, 2, . .

Undamped - forced vibrations, We will firstly notice the undamped case. The...

We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku  = F(t) It is just a non-homogeneous differential equation and we identify h

Find out the length of hamiltonian path, Find out the length of Hamiltonian...

Find out the length of Hamiltonian Path in a connected graph of n vertices. Ans: The length of Hamiltonian Path in a connected graph of n vertices is n-1.

Determine coefficient of traction, Problem 1 Work through TALPAC 10 Bas...

Problem 1 Work through TALPAC 10 Basics (refer to attached handout). Answer the set of questions at the end of tutorial module. Problem 2 Referring to both the haul cyc

Acid solution, A 90% acid solution is mixed with a 97% acid solution to obt...

A 90% acid solution is mixed with a 97% acid solution to obtain 21 litres of a 95% solution. Findout the quantity of every solutions to get the resultant mixture.

Logarithms, how do they solve log9 = ... 27

how do they solve log9 = ... 27

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