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 February 12th, 2017, 09:04 AM #1 Member   Joined: Jan 2016 From: Blackpool Posts: 76 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, 02:26 PM #2 Global Moderator   Joined: May 2007 Posts: 6,398 Thanks: 546 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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