nb, 2 1 so nb no">
Mandeep Kaur posted an Question
August 27, 2021 • 16:56 pm 30 points
  • IIT JAM
  • Mathematical Statistics (MS)

Uppose a0, because lim an= 0 is clear for a = 0. since la<1, we can w lal 1 where b> 0. by the binomial theorem n (1+b)=1+ nb + .. +b" 21+ nb > nb, 2 1 so nb no

uppose a0, because lim an= 0 is clear for a = 0. Since la<1, we can w lal 1 where b> 0. By the binomial theorem n (1+b)=1+ nb + .. +b" 21+ nb > nb, 2 1 so nb Now consider e >0 and letN =- Then if n > N, we have n> and hence lan- 0l<- eb eb Example. lim (n)=1. n- Let a, = (nn) - 1 and note that a, 2 0 for all n. By Theorem it is sufficient for us to show that lim,a, = 0. Since 1 + a, = n'h, we have n = (1 + a,). For n 2 2 the binomial theorem gives us n = (1 + a,)"21+ na,+n(n- 1)a, n(n - 1)a, Contact Us : Website www.eduncle.com Email: support@eduncle.com | Call Toll Free: 1800

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    Pranav kumar Best Answer

    Please see the attachment.its simple way to solve such kind of question.

    cropped2966301791653285163.jpg
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