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!
Determine if the subsequent series is convergent or divergent.
Solution
As the cosine term in the denominator doesn't get too large we can suppose that the series terms will behave such as,
n / n2 = 1/n
which, as a series, will diverge. Thus, from this we can guess that the series will possibly diverge and thus we'll need to find out a smaller series that will as well diverge.
Remind that from the comparison test with improper integrals that we ascertained that we can make a fraction smaller by either creating the numerator smaller or the denominator larger. In this example the two terms in the denominator are both positive. Thus, if we drop the cosine term we will actually be making the denominator larger as we will no longer be subtracting off a positive quantity. Hence,
n/ (n2 - cos2 (n)) > n/n2 = 1/n
Then, as
diverges (it's harmonic or the p-series test) by the Comparison Test our original series must as well diverge.
how do you simplify ratios
Ahmad borrowed $450000.00 at 3% compounded semi-annually for ten years to buy an apartment. Equal payments are made at the end of every six months. a) Determine the size of the se
reduction
creative assignment about sets
Euler''s Constant (e) Approximate the number to the one hundredth, one ten-thousandths, and one one-hundred-millionth.
3+5
High Self-esteem Helps Learning : Consider Ajay, a student of Class 2. He is constantly told by his irritated father, "How stupid you are! You don't even understand this! Even yo
The subsequent force that we want to consider is damping. This force may or may not be there for any specified problem. Dampers work to counteract any movement. There are some w
what is the trignomatry ratio
Factorize x squared + 6x + 8
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