Infi2_hw7 - 7 oeilib -2007 aia` - (104281) 2 itpi` 13 : 00...

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Unformatted text preview: 7 oeilib -2007 aia` - (104281) 2 itpi` 13 : 00 ,18.7.2007 ,iriax mei :dybd jix`z xiip lr yibdl yi .qxewd ly mi`zd cg`l ec`n` oiipaa qt` dnewa dybdd :zxekfz xexiaa oiivl `p .micigia dybdd .wcedn yibdl `p .mixqlw e` zeiwy `ll A4 lcebn .xry sca jxev oi` .oeilbd xtqn z`e ,f"z xtqn z` ,cinlzd my z` :zewfgd ixeh ly zeqpkzdd inegz z` eayg .1 n=1 (x + 7)2n+1 nn ( n 2 - 1)n (`) n=1 xn 4n 2 (a) .miipey`xd mixtqnd zveaw ef P xy`k , pP xp (b) :xear f 1 2 z` eayg .2 f (x) = n=1 (-1) x 2n(2n + 1) n 2n+1 qeicx edn .f (x) = sin(x3 + ) 4 divwpetd z` qt` aiaq zewfg xehl egzt .3 (.dceara jeqgl zpn lr :an dxcqd z` xicbp .4 zixhnepebixh zedfa eynzyd :fnx) .qt`a 21 - d dxfbpd z` eayg ?zeqpkzdd a0 = 0, a1 = 1, an+2 = an + an+1 2 onqp .mi`ad mialyd t"r dleab z` aygpe dxcqd ly illkd xai`d z` aygp n .f (x) = n=0 an x .iaeig zeqpkzd qeicx yi f (x) - ly ewiqde an 1 ik egiked (`) :miiwzn zeqpkzdd megza ik egiked (a) f (x) = 2x 2 - x - x2 1 f (x) = dxevdn zewfg xehk A 1-x + B :y jk 1-x A, B, , mireawd z` eayg (b) z` meyxl zpn lr mcew sirqn wexita eynzyd (c) n .dxcqd ly illkd xai`d `ed bn ik ewiqd . n=0 bn x ( 2 :daeyz) .dxcqd leab z` eayg (d) 3 f (x) 2 ...
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Infi2_hw7 - 7 oeilib -2007 aia` - (104281) 2 itpi` 13 : 00...

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