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Manipulating inequalities 
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#1
Mar911, 03:00 PM

P: 14

so I have 1/(n2). I have that n>max(epsilon+2,1). I need to get 1/(n2) < epsilon. I know that 1/(n2)<1/(epsilon+22)=1/epsilon. but 1/epsilon is not always less than epsilon. can you see any errors?



#2
Mar1111, 01:38 PM

P: 150

Your question is unclear.



#3
Mar1111, 01:49 PM

Mentor
P: 21,258

1/(n  2) < epsilon <==> n  2 > 1/epsilon, making the reasonable assumptions that n > 2 and epsilon > 0. If epsilon is small and positive, 1/epsilon is generally larger than epsilon. 


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