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study ii
am pied
.info#w.xeXgHyhhokb%ddkTn: × → Y sipper
.CH#hTn1Btdqb.%bdFs , > { Tna } Is
11 Tnxll c- HTNH . " x " £M '" × " :@
twin Ak - { x : 117×11 EK . nd }a
X = VA , . ⇒ .
Elie K¥4k=l
B ( xoir ) C- An ⇒ th , #I x. +rxslkkt×£BGi1 )
HTXH £ kt 114×011
HTNH - Sup -
rmillet
£ M
.ci#&sIxHEK:ITn:ct→ R
Tn¢xmED=m§,.cm#t*vKiacteeo1Tnlx)1sE.lxmlsnHxHa
HTH - n → a
X=(xmte.at#-y.oyTtHt.ixeAsH4X=(x
, ,... ,xµ ,°m " ' " ) ⇒ TNCXKTNK ' n±N
.
I # E# Footed k¥444 :&a
F e C [0/2+1] f ( × ) ~ a÷ + [ an Cosnxtbn Sinn ×
.
n=1
An = ftf"
fan Cos nx dx
bn= ¥f2"fan Smnxdx
M
T (f) = aoz + [ an→ xeo thaw
mn=i
¥bx - kit It # ⇐ , ,yoK{t.nefpk.tt's Ht KT/
'
m=l
o 1# HIM@ out ibid.EE#noyI.:
ITMH ) 1 = / a÷ + §,
an / =/ Enfs"fwd× + §,ftp.fcxicosnxdx/=1.EIFcx
) [ It 2¥,
cosin9-
mcx)
C- It , {"
I 9- maydx . 11£11*
⇒ " In 11 s In f"
I 9-man ldx
9-man Sinxg= 8in It ⇐ §in( ntk )x -
&h ( n -
'G) × ]
= Sin xq + 8in ( mtKDX -Sin ×z
⇒ ofm
( x ) - Sh(mtk)×SinIz
f"
landefeld× > 5.2"
I sina.tn#ldx
eE¥¥I⇒l¥a= 2 f←"
' "
1sing 1 dy
⇒ E.Html # lds >ZM
> §.
⇒nnfY"P;yldd=mE¥* → a
Mullet, # lqmixildx got # K
TmHI=¥,f* fanqncxidx
F=sgn( Fm) - {t t Fm > °
-1 FmE°
⇒ Tmcf ) - tznfttfqmcxydx→ E # f :#
HE zgecco ,ztD ,llf - gHz=(f#Hcxtga,pdDk< e
!Tm(g) - I #tap"( gotta'D Find
'Ts Hgfllz ' " Fmllz£ Ellfnllz
Hm(
91/2In f
"
lqmcxsldx - E 11 9mHz
light % Ein:%# g
9
ftp.#VVfH* ⇒H I 112¥,f2" lfdxildx - elite
t.us#ffixn ) } d. is fex'# # et : xsiwi # s { xn { % : I
.EH #
,> { a I of T
Tn : X'
→ R
Tn ( f )= Fcxn ) ⇒ HTH = Sup HK ' l
o ¥ex 'Ffnx ,
= " " " "x
. Indy.
51 ( Kd ) # x ? xn d. is owinxrxk% ( × ," .
" )¥ # Id¥oI÷x'vk.IM#*a.h*iuF.d%ddfboiFeX'gHgh)xn-x_xnw-
×
fcxn ) → fcx )
. Xn - x Egin ah xn→xFP
. ( i <p< a)end ° : JI
v. feely 's lot ,fcea ) → °
to
IHmMoftttaf.CYmlm4.FlxmIEEYmYmm-1fcen1-Yn-2o.ento-dsbf@t.fenEF.ds6A.duVfeH1-TyeH.fcxkcx.yp
Sten ) - < en , Ys >A
119£42 - [ 1 < end > j2no ,
⇒ Fcen ) → o
s.at#msI?Isaf :&Xn - x
, Xn - Y
VF←X'
,bifcx .
)=f( × ) = fcy ) ⇒ ×tf
(
4dbiIx.6lIx.jsh.Ih4hIsxn-x5.olI@gIbEEIgT.uH.oKxnld.isoETxn-xsT.otFliminfHXnllZkxll.ETxnu.x
I :#n → a
IFCxn ) | { 11£11 . 1174 "
Fix) ) - limlfcxn , ) fllfll .limit " 24 "
⇒ Saplfcx ) )
o # exitsS hhninf Benn