Question

Find the limit of the sequence if it converges; otherwise indicate divergence. n a. -sin 2n-1 Determine whether it is absolutely convergent, conditionally convergent, or divergent. Indicate the test used. (-1)tan 'n n° +1

Answer 1

Note Book Solution Ginien the nth term of the sequence sequence an 32 Athl) an-1 n 2 an = th 264 31h3 sins h2 an ht) f 4- + -) h2 (2-Y) 3! n² Sint then 1 Im hayo lim HAO 7 + (2-Y) 3! h2 5124 t-otos (afinite numbert Q-0) » Sequence of an} is convegg ent. Given the sesies { win tant chi n241 nei tantino then w { leash damoni { fon) ha +1 ht Vn Here fin) 20 fanth n²+1 (3) = 0.124 and f(2)= 0.221 f11) = 0.392 is monotonically decreasing integral seo tunction clearly f(n) is Can use test. 8 46%) da tant a It x2 du 151 =dy let dant x = u ㅋ (+22 So ༥ du *[Carte]] Į tant (dana) ?? {tants to प्रा es se ze smpseper integral format is convergent tcada 3 a2 la finite number 32 is convergent sprie, stigh fant/14h2 is absoutely convergent.