Differentiation and Integration of Series

Differentiation and Integration of Series - 'DJFFEREmmwm 0m...

Info icon This preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 8
Image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 'DJFFEREmmwm 0m) «manna» 6F $82155 . ——u-nu-_ W0 Tums: we Wm ; _-'..SIIUX :_ II 5 I I. X '5' 5+ 3: I x is 2 Cos xi . --FoR jam. 1x . New mm; 7391' n h ;'cosx'_ THE DERIMDUE 0F 5m: x' can a; cqnmns'o 3y omrsmfmmaé' _ _ .rTs MCI-bum: ssmss’.‘75m~§_y-rsen .msr as_-:Fior-w-ER€ - a PéLbemBfl I I. ism-x) .‘m 13500517 : IF c, 4 gang,” :3" tx-xaj‘ 4 . .. a fi ‘ Fax) 9; Z cam-x9) «i=0 3+... 4' Ca tic-X9) cm me are» wrsevm. cxo- R, x0“? )’ 1mm flux) :3 DIFFERENTIHBLE ON THIS mrseum. amp ' l P ex) :: cc‘J’v cc,cx-x,))'+ (get-x9") 4m- "' (c‘ var-x“!Q )'+-" c. + '44: cat-x9) 4- m. .flc‘ucoxo) = Lin-«1'2. jg“ & :1 mafia: muse DERwsnvES' 1305 canme w WE WE £037 . w EXMPLE : 9" '—‘ “Z: X“ Fol? 91.1. x :0 a , v a" a g 3" (eXJ’: a Erranx 4:! ‘3: n + x 4.. .‘E’. u ‘3 6 4 + NOTE 0» PREVIMS 5409171915 .- 05.9le fiPPEHMME: 17/5 7100 —— 0—— “ 1 I '8" _ _ 3:315; F x" mm 2: x 925 Bxficny 'ms sane, as etc-ans; amalgam. WEN ’0 q SW57 campus PIE 1mm: our, sac» can as as mweo FIPon we amuse By Ef-INoExma’ E. 6., ‘9 I {-4 Z ta...” " ‘ ‘: L6)” “4.4. 129:» fi:. 4%: 31:0 Q3 some» :5 we sons»; 2: J; x HMO WEI? E Xflm’LE .‘ '” I I q" 3-:- Fax) = Z 6‘3 =§ Lac) 2 Z: Rcfix 4” ' 3:: - ( “ms emu. 35 1:351:01. was» «:15 RETURN TD DIFFEREN'IML 5009 mm.) I Paws}? SERIES 6310 31-50 B 'THEDJPEH: If Pm) : Z Cant-‘3‘) 4% on: (Kb-R, x, H? ), WEN _ m _ _ c‘ 9n: 3 Fund): a: m tit-49) + C *=O ' cw nth-R, x,+ R), EXMPLES : °° my“ 1.3+: :. --------------""I X 4' C. (344:). «5:45 .2, 605 mm» 3 SERIES EXPBMSMN FDR 493cm» x a» c— t, I.) I 3y: :mmcmrma mu EXPsmsmm F0}? ,7]; A: ,F'oawms : E “015639750 TERfl-BV' 715817 .' ,FOR ‘i‘x": 90 Now {107563375 . 50 ---- : X 1-3 3:0 I _ “1—— : ZL'XJ' m " l-l-X) :0 an :0 a a .6 . 1 = Z: (—I) If) mc‘ a” an afi .: Z ('Uax 4:0 _ I m .__.-."”a an“ 4- C S :31?“ = w — Men?» 0 II °" 3 as” ' I Z .513. x ' H: _ .14» c “II. 0.25“ W * + E 327? 5 3‘0 0 I 4' C m tQIJ‘xJ") on, 4,3." . N075 : WI: 55315: gammy arouses“ 97 x = i I 3: £05“. ( 4L Immune $62155 71’5'7') . :7"; N07 :0 osmov: t 807 I?" TPUE ) 7W7 WE SEPIES 191.30 CONVERGE? n a (—4" '13}! Akcmnvu) = Z: 3-;— i=0 J. .. J- . . E 3 ,_ 3L 4 s 7 + I. 3 ' TUE Fomcnam e' x my; Na ELEDEmmx enviaEPwfimé' so 0 . ‘ ‘ ‘ S e": JX a w: mus no use»: 0F cmwmnma Exec my, 095 two 19 $549155 EXPflNSIOM Fox WE waw: aw 39.09am”: :7 3y :9 949mm. son a: Famous, I ex = z 371 ll» . .. t-x ) e " - Z A! 4-10 a, 5-1)“ 1“ ‘ Z “17’ " _ i=0 ' WW ‘NVFGRBIE . a “‘9 P J“. 2.2 S e x x = Z: tag-r- X J! 4% . -a m ‘9')“ 2464', " ' .-x c H) 8 e Jx can»? a £20 ' ' ' . twnm smcE m5 same-s I5 sue-manna IT IS 5’9" 7’ 5” . m t . xi "’5 n 17;: 63203 an»: m approxmapm; S e «la: 87 0 Pam-m. s'un _ I z ' Seam" - S”, ‘ (JmmHJMMI ‘fuflflw’u 0 FM swans, If we Marman . l' 2 _ I ~ 8 cure/x g ,. :31- + u 0.9%? C 1715» WE 53302 3: 1.5“ MM ~14; : 0.0046 9-7. WEI! I926 3 Few noes 31.46893): TEcymaucs For: 65777»: 559255 Exflmgms' c on arwafl P331749}. can: or: 77150) (Jammy ml. 1.1.1.0577?an mm a Paw Exanfiwr, EXHDPLES : I. F = z w __..__... t!) X SINX : Squ = Z PU.“ X331“ (:50)! ' Q cos x -.- -‘-+ -'- - n a 430 12-8). Q9 :- i- 4- t-lJfi-l'mxzfl A“ (.14)! _ ea ' a i 4 Z Mtu'J‘gaa’xm A” c.2103 a 0 = . 4 z "__—————""-*"'x‘“ A“ :24)! . F l _ I 3, P”) : 2 macme an . R a °° 5 = “’3 x; t.” 23*] (‘Q £3 .28. x ) ‘I : (lo at"+ fat 5. ... )(1oéx3+3‘-x5_... 191' 1m: ram :05 Jusr 37327 nun-hm.st our KEEPING near op wan-H invu‘; 6195 31:5 1» some» Paws!“ 613 X ' cams nmr TERI? .- ' Nome 7‘ ' 3 can!) a x 3f" : moms 1". : uu-jx’) + (-2500 g.- .. g-xi" X" : NONE' _ 3 I: , 2". : 1:)(3-‘x524L («Ht-5,"): + (fix )tx) .. - 3' .9"- a f éxrsrfx 45"): .. 30x . I 3 an i I I. e’” enema: x- 2 x- g—x + so): +. 51192 FD!) =' 'Ifimx a a“): a ‘0')“ 3 .4. I. ... 2 fun)! x ' X "' ix + :20 x = g k '- 0'” 1'6. _ J. 4- _J_ x d .u E :71)! x i 3 x Ml tit-7n“ we var 00 49 Lows woman L van)! mus ammo» ) .~ "-30 ‘ '3’ fiflITHfltnC : - mans .-' JUST 1'» :5: we apvammsss (W 7715. 1.0106 wow smnr cannumla Offiluflflvf: 9mm» You 5 5 m: 0361-19031”. Fur) = 1‘)?» x am: my.» 05 In ‘ Pt 7» 551m werrmsmrs. ' ,0F .4: a) Powwow: ' 4!! ’0. ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern