Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Alternating Series Test - Sequences and Series
The final two tests that we looked at for series convergence has needed that all the terms in the series be positive. Actually there are several series out there that have negative terms in them and thus we now need to start looking at tests for these types of series.
The test which we are going to look into in this part will be a test for alternating series. An alternating series is some series, ∑an , for that the series terms can be written in one of the subsequent two forms.
an = (-1)n bn bn > 0
an = (-1)n+1 bn bn > 0
There are so many other ways to deal with the alternating sign, although they can all be written as one of the above two forms. For illustration,
(-1)n+2 = (-1)n (-1)2 = (-1)n
(-1)n+1 = (-1)n+1 (-1)-2 = (-1)n+!
Certainly there are many others, but they all follow similar basic pattern of reducing to one of the first two forms that given. If you should happen to run into a dissimilar form than the first two, don't worry about transforming it to one of those forms, just be alert that it can be and thus the test from this section can be used.
if the sum of lengths of hypotenuse and a side of right triangle are given, prove the area of the triangle is maximum when angle between them is pi/3
Q. What are Complex numbers? Ans. Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is a special number called the imaginary unit, which
The numbers used to measure quantities such as length, area, volume, body temperature, GNP, growth rate etc. are called real numbers. Another definition of real numbers us
write a fortan programme to generate prime number between 1 to 100
Uh on my homework it says 6m = $5.76 and I dont get it..
Hi, this is EBADULLA its about math assignment. 1 application of complex analysis used in thermodynamics. . what all uses are there in that... plz let mee know this answer.
A speaks truth in 80% of the cases and B speaks truth in 60% of the cases. Find out the probability of the cases of which they are possible to contradict each other in stating sim
sin45
A card is chosen at random from a pack of playing cards.what is d probability that it is either a heart or the queen of spades
Definition of limit : Consider that the limit of f(x) is L as x approaches a & write this as provided we can make f(x) as close to L as we desire for all x adequately clos
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd