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February 12th, 2017, 08:04 AM   #1
Joined: Jan 2016
From: Blackpool

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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.
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February 12th, 2017, 01:26 PM   #2
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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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