L.sufiya khanam Asked a Question
October 7, 2020 6:55 pmpts 30 pts
(ii). V = (-1)": This sequence diverges whereas the sequence is bounded Si H - 1 V s1 Another example would be x = In n, since (iv). equ In n>co but Inn- In(n - 1) = In In 1=0. n-1 at it v). The sequence {sin(nt/2)),a diverges because the sequence is {1, 0, -1, 0, 1, 0, .), and hence it does not converge to any number.
  • 1 Answer(s)
  • 0 Likes
  • 1 Comments
  • Shares
  • Deepak singh thankyou
    In first example - Vn=(-1)^n = {-1,1,-1,1...} limit point of Vn ={1,-1} (because 1 and -1 is coming infinitely times ) . Since limit not unique implies this series is not converg...
    Show more
    Likes(1) Reply(11)
    L.sufiya khanam
    for 1st and 3rd I know it is convergent. how are they divergent as in 1st example it's like 1,-1,1,-1 .then it towards negative as well as positive . how it is divergent?
Head Office :
MPA 44, 2nd floor, Rangbari main Road Mahaveer Nagar II, Kota (Raj.) - 324005

Branch Office (Jaipur):
Shyam Tower, Plot No. F2, 6th Floor Amrapali Circle,
Vaishali Nagar, Jaipur, Rajasthan 302021

Mail: info@eduncle.com
All Rights Reserved © Eduncle.com