Assignment Wrap Up

Last week was really busy, our proofs problem set was due I ended up doing really well! When I look back at this assignment one question in specific stands out

Screen Shot 2014-11-27 at 11.53.31 PM

This claim was not true because Floor function has jump discontinuity.

Screen Shot 2014-11-27 at 11.54.54 PM

Given the delta-epsilon limit definition, we know intutively that the discontinuous floor function cannot produce a two-sided limit for all values of x.  After many attempts to find a values that would construct a counter example to prove the negation. I eventually got this proof correct after countless number paper being scrambled.  By choosing x = 2, e = 1 I was able to prove the negotiation of the statement.

 

until next time,

CodeShart

 

 

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