February 12th, 2017, 08:04 AM  #1 
Member Joined: Jan 2016 From: Blackpool Posts: 93 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: 6,454 Thanks: 567 
The basic idea is that for given k there exists an N so that for $\displaystyle n>N,\ A_n< \frac{1}{k}$


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