infi2HW09 - =1 (-1) n x 2 n +1 2 n (2 n + 1) . log 2 √ 5...

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9 'qn milibxz oeilb - 104281 - 2 itpi` .mixdva 12 : 00 dry cr -- 2008 uxnl 20 :dybd jix`z A 4 lcebn xiip lr yibdl yi .qxewd ly mi`zd cg`l ec`n` oiipaa qt` dnewa dybdd :zxekfz sca jxev oi` .oeilib xtqne ,f"z ,zeny xexiaa oiivl `p .wcedn yibdl `p .mixqlw e` zeiwy `ll .xry .zewfg ixeh mpi` mixehd mipey`xd milibxzd ipya :dxrd 1 libxz dtivx zeqpkzdd megza zlawznd divwpetdy e`xde qpkzn `ad xehd x > 0 el` xear e`vn :dxifbe f ( x ) = X n =1 1 n x 2 libxz :eayg Z 2 1 ˆ X n =1 n 2 nx ! dx 3 libxz :zewfgd ixeh ly zeqpkzdd inegz z` eayg . X n =1 ( x + 7) 2 n +1 n n ( n 2 - 1) n .1 ik lawl zpn lr qt` aiaq 2 x ly xeliih gezita eynzyd :dkxcd n 2 - 1 < log 2 n + (log 2) 2 n 2 X n =1 x n 2 4 n .2 .miipey`xd mixtqnd zveaw ef P xy`k , X p P x p .3 4 libxz :xear f 0 ( 1 2 ) z` eayg f ( x ) = X n
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Unformatted text preview: =1 (-1) n x 2 n +1 2 n (2 n + 1) . log 2 √ 5 :daeyz 1 5 libxz :xy`k f α ( x ) = ∑ ∞ n =0 ( α n ) x n idz ± α n ¶ = α ( α-1) ··· ( α-n + 1) n ! !iaeig e` mly gxkda epi` α .xehd ly zeqpkzdd qeicx z` e`vn .` :ze`ad zeiedfd z` egiked .a n ± α n ¶ = α ± α-1 n-1 ¶ , ± α n-1 ¶ + ± α n ¶ = ± α + 1 n ¶ :zeqpkzdd megza ze`ad zeiedfd z` egiked .b ( f α ( x )) = αf α-1 ( x ) , (1 + x ) f α ( x ) = f α +1 ( x ) . f α ( x ) (1+ x ) α dpnd ly zxfbpd z` eayg :dkxcd . f α ( x ) = (1 + x ) α zeqpkzd megza ik egiked .c 2...
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infi2HW09 - =1 (-1) n x 2 n +1 2 n (2 n + 1) . log 2 √ 5...

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