Lecture 27(Monday) - rove Pn TP 2F @using l9rpitl9s rule nd...

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Unformatted text preview: rove Pn TP 2F @using l9rpitl9s rule nd limitsA o n slide IW bounded below xotie tht the denition of igEymeg diers in just one hrter from igEyhX @ A a f X N U3 R0 j W P R+ W P N V P N ! A @ A ! @ Ag g f c ; B ; n ;n B f n cg n he rle of isD s with igEyhD to t s rekpointD so omprisons don9t hve to strt t o the originF B he rle of is to sle o c f g down elow F f c B sf you9re proving P @ AD you get to hoose nd to suit your proofF xotie tht it would e relly unfir to llow to e zeroF g c slide PH st often hppens tht funtions re ounded ove and elow y the sme funtionF sn other wordsD P y@ A P @ AF e omine these two onepts into P @ AF f G f g f g one last bound @ A a f X N U3 R0 j W 1 P R+ W 2 P R+ W P N V P N ! A g f c ; c ; B ; n ;n B c g n 1 @ A f n @ A c g n 2 @ Ag f ou might wnt to drw pituresD nd onjeture out pproprite vlues of a S 2 C IS nd a 2F n g n c ;c ;B 1 2 for slide PI some theorems row do you del with generl sttement out two funtionsX @ P y@ A P y@ AA A P y@ A f g g h f h slide PP row outX P y@ A A P @ A f g g f slide PR ...
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This note was uploaded on 10/13/2011 for the course COMPUTER S CSC 165 taught by Professor Dannyheap during the Fall '10 term at University of Toronto.

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Lecture 27(Monday) - rove Pn TP 2F @using l9rpitl9s rule nd...

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