infi2HW4 - 4 A4 'qn milibxz oeilb - 104281 - 2 itpi` :dybd...

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Unformatted text preview: 4 A4 'qn milibxz oeilb - 104281 - 2 itpi` :dybd jix`z .(ef dryl jenq sq`p libxzd !xg`l `l `p) mixdva 12 : 00 dry cr -- 21/5/2006 lcebn xiip lr yibdl yi .qxewd ly mi`zd cg`l ec`n` oiipaa qt` dnewa dybdd :zxekfz z`e cinlzd my z` xexiaa oiivl `p .micigia dybdd .wcedn yibdl `p .mixqlw e` zeiwy `ll .xry sca jxev oi` .f"z xtqn : 1 libxz :mixehd mekq z` eayg n=1 1 log(1 + n ) .1 1 n=1 9n2 +3n-2 .2 : 2 libxz .mixehd ly zeqpkzd e wca 1 n=3 n log n(log log n)2 2462n n=1 135(2n+1) 1 n=2 (log n)n 1 1 n=1 n1+ n 1 sin( n ) n=1 n .1 .2 .3 .4 .5 - n n=1 e n=1 log n .6 n( n - 1), > 1 n=1 (1 .7 - cos( )) n .8 (-1)n n=1 n+(-1)n log n .9 : :egiked . 3 libxz Sn = n k=1 an :onqp .iaeig xeh an .1 .qpkzn an 1+an an (Sn )2 qpkzn an an .qpkzn xcazn .2 1 : :egiked . 4 libxz f (0) > 0 oke f (0) = 0 :miiwzn .qt`a dxifbe [-1, 1] lr zxcben f (x) .1 .xcazn n=1 n=1 1 f(n) .qpkzn 1 f ( n2 ) .2 : oke 5 libxz idi m k=1 ak = A - y jk a1 , a2 , . . . , am mixtqn zxcq zniiw >0 lkl ik egiked . . A>0 m 2 k=1 ak < 2 ...
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This note was uploaded on 06/27/2008 for the course MATH Infi 2 taught by Professor Benyamini during the Spring '08 term at Technion.

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infi2HW4 - 4 A4 'qn milibxz oeilb - 104281 - 2 itpi` :dybd...

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