IIT JAM
PreviousNext
Sachin kumar Asked a Question
February 2, 2022 9:24 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Q.3 which of the following conditions implies (imply) the convergence of a sequence {xn} of real numbers? (a) given e> o there exists an to e n such that for al

Q.3 Which of the following conditions implies (imply) the convergence of a sequence {xn} of real numbers? (A) Given E> O there exists an to E N such that for all n 2 no. 1n+1-nl 0 there exists an 7to E N such that for all n2 no n+1a Xn+1n E (C) Givene> 0 there exists an no E N such that for all n 2 no» (n + 1)-|Xn+1- Xnl 0 there exists an o E N such that for all m, n with m>n2no 1XmXnl
  • 1 Answer(s)
Answer Now
  • 0 Likes
  • 1 Comments
  • Shares
  • Navdeep goyal 1 thankyou
    d since every convergent sequence is cauchy sequence according to defination for €>0 there exist n0 such that |xm-xn|<€
    Likes(0) Reply(4)
    Sachin kumar
    sir it is multiple correct answer.... c and d both is correct... but i don't understand what that all the options meaning... plz sir tell some solution of this definition besed que...
    Show more
How Eduncle Helps You ?
StudentTutorInstitutionApp
Help
FAQsPayment TermsRefund PolicyAsk Support
Head Office :
MPA 44, 2nd floor, Rangbari Main Road,
Mahaveer Nagar II, Kota (Raj.) – 324005

Corporate Office:
212, F-1, 2nd Floor, Evershine Tower,
Amrapali Marg,
Vaishali Nagar, Jaipur (Raj.) – 302021

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