Expand and then integrate the third term. The final answer is found by evaiuating tire expressionu sing the lin-ritso f 0 to r.) tJ.*, of a seriesis infinite.t he seriesis t'i,) xs /5! /?\ v3 /? | \ t...

sin x 48 2. ndentify ttre third term in the Maciaurin series expansion of *t f" Jox (Ilittt: Expand and then integrate the third term. xs / 5! t'i,) The final answer is found by evaiuating tire /?\ v3 /? | r. , J. \t., expression using the lin-rits of 0 to r.) f/st {3'} (4\ x x3/(3 3!) x 5!) f/(5 {{s) -x5/(5 (6) x 5!) is 3. If the sum of the tJ.*, of a series is infinite. the series tnuncated. g(1) '(2) convergent. (3) divergent. (4) a fufaclaurin series. (5) a Taylor series. sin 6x - 4. 5* (Hint: ruie.) Use L'l{opitals r*0 6x (t) 0 (2) I I r?\ I o (4) 5 (5) cos 5 (6) sin 6 'n - (l+xt e* : (.triint: 5. lirn z[ Use L'F{opitals rule twice.) fl r*0 x' [- -& -@ (l) (2) 0 (3) I oo (4) + (5) indeterrninate -ttT - = (Iiint: rule 6. lirn e e-tP L'Hopitals twice.) J:use e' f+co -"" (1) (2) 0 2 {3) - (4) -2 {s)+ I cos'{ nm 1. x sln x -r:+ll -- (l) (2) 0 *n (3) +- (4) - Tl (5) tf : Vc (Hint: a 100-pF i through current The 8. J,|, 2r) t'"::':;ff"fi"";'r *+(sin - ic:o.oot ' t-+ 1 integrate') and 2r sin expahd capaclrcr the for expression series Maclaurin correct the is Which voltage? 14 ,a -. +t- (r)r0(+ 600 ,"4t5 - r t' + t (2) rot(-t to'3 i 4t! 3-ts + - a lnt 2t (3) r0( 75 9 { r,+ 2t- ro( )*t ral +t' _' g.SupposeyouwereusingthefirsttwotermsoftheTavlorseriesexpansion erc" e3 e2' ' e' of ,oriil;)"iht Assumin- eZ'E e "tl"es evaluat exto of whichofthefollowingvalqes*outayouchooseasbinttreTaylorseries answer? accurate rnost the to obtain (l) 0 (2) I (3) 2 (4) 3 ruie') L'HoPitals use , (Hint:xlnx= : xlnx lim 10. ': ': r'0 -i - -@ (1) o l"tzl (3) I (4) +@ -l (5)cos x 50 tl. iim x*0 X (l) 0 (2) I -r (3) - (4) I n 12. Using the Maclaurin series in Table B, value the oi tan n is * rt ') ,-i t1n6 l, ttr ttlr vLtt- ... I J (l I1-- (Hiln:Topic I + 3.) ) 4 l<>