Question

Problem 3. (1 point) Consider the series 4+ (-4)" 8" Which of the following statements accurately describes the series? A. It converges to B. It converges to C C. It converges to 38 21 D. It converges to E. None of the above, the series diverges.

Answer 1

solution : Given 15at, E 4+ Eugen 4 +7 Em fの Er wh so n=1 w 4 8の + [ Eyn y 27 n=1 { un teren yen Y where, Un yn liau (un) timi uln na 8 & Yg K1 I %80 is so by root Test Y una Coanerges plin C) 5 dursing "7 Er un ef Eje. Yn is ger. In + Eht is convergen. lim On no nya sequence, alternative sesius test monotonie precarsin n=1 comes I na) lie Ч + Gin 20 toption frul

( Ôn n=1 sous n =) Gr Un where, Un n9-5 You na-5 lean Un linn ḥ W nya - lins Yos -0. n V 1-14 < Uny ol 7.s) is deensin deursing sequence so by alternative sesius Test fgh n=1 nous En un I w Converger option ③ towe.