Question 517589
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If you can show that all subsequences of a Cauchy sequence are convergent then you can use:  Every convergent sequence (with limit s, say) is a Cauchy sequence, since, given any real number &#949; > 0, beyond some fixed point, every term of sequence is within distance &#949;/2 of s, so any two terms of the sequence are within distance &#949; of each other.


Hope this helps.  There may be something here: <a href="http://www.math.ucla.edu/~tao/resource/general/131bh.1.03s/week2.pdf 
">MATH 138BH</a> that will help you.  Good luck.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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