February 12th, 2017, 08:04 AM  #1 
Member Joined: Jan 2016 From: Blackpool Posts: 95 Thanks: 2  sequence proof
Q: prove that if An tends to 0 then 1/An tends to infinity. This is intuitively an easy concept to understand however how would i go about proving it. I know that the definition of infinity is for a sequence Xn, for all values of K greater than 0 there exists an n greater than N such that Xn is greater than K. 
February 12th, 2017, 01:26 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,510 Thanks: 584 
The basic idea is that for given k there exists an N so that for $\displaystyle n>N,\ A_n< \frac{1}{k}$


Tags 
proof, sequence 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Recurrence sequence  proof  greggor  Complex Analysis  2  April 10th, 2015 03:02 AM 
limit of sequence proof  Lapas  Calculus  2  October 7th, 2012 04:01 AM 
Help Proof Sequence Limits  john616  Real Analysis  1  April 29th, 2012 11:53 PM 
Easy Sequence Proof  HairOnABiscuit  Real Analysis  6  October 12th, 2009 10:33 AM 
Sequence convergence proof  zve5  Real Analysis  2  September 24th, 2008 02:32 PM 