Question

convergence of ХИ Find the interval and f'- where f=E dx f' df И >

Answer 1

the internal al als comuergence ab f Find flee and f' df da whene f Vw 72 solution Cliven that L 27 71-1 here m an 건 22 anti anti (n+1)2 Hee Radio kesh. from e lim ant) n-L an ¿ 여 lim xnt) 22 1 n-2 - į = linn [n+ija sen Anx 22(ltlm) 2 27 nh 0-1 3). lim no 2 2 است زیرا | پرده 2 2 (170321 11 - LILI Now we check for Divergence put x=1 2 en E (-1) € 121 to U=1 22

so it is Diverges. Now we put x=1 2 E 2 ह (1) 23 70 n=1 x2 2 = 1 ma it is also Diverger. Then flee Is ferval af convergence I= [ -1, 1) Radius R = 1-(-i) 2 2 = 1 2-) Now f(x) = & De 31 n=1 ina f'cas = dfiel n d dai w ax 21 22 L ed fee) m- 71 dx દ છે ૪ 2721 n=1 f's en/ E n=1 Thank youu