Question

Does

sigma (3n^2-n+1)/sqrt(n^7+2n^2+5) converge or diverge using limit comparison test.

Answer 1

0 to e no comparing with 5 an E 31" - nt' nan l+212 +5 Here an= 3n2_nt1 choose bna 0312 - am onza an = n2 [ 3 - 1 2 + 1 2 ] 2 [3-2 + 1 ] 872 173 +5 no vnt 1+3+5 no nt 13-6+ ] 7312 Tit? 5 + 5 hout [3-hh + the an = bn n7 - [3 + + 4 T + 2 + +

eus an - nua bo lm (3-1 + 1 he] nao - 3-1 tto Mitte - 3-oto. Ttoto hawa n = 3 = 3 (20, 0), By Limit comparchion series either the both then = e(to w.) nto an test p-series converges by test it em an - 1(60,0), then converges or diverges together. If I bna s į converger by 리 3 i P-series test, i y converges of P>1 na nith diverges it pelo limit Hence by comparisien test, It Ebn then ? ana [3n -nti s also converges ante ant + 5to. is l i Convergen nas n21 nब

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