Question

Part 1:
Using the alternating series test, test the convergence of D1 () Show all your work

Part 2:

Using the definition of convergence of a series, test the convergence of If it converges, find its value. 1 1 100 no 1+2 1+3

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Answer #1

9) Į EUR Ź + Egon n=2 alternating Serres. n²4 n3ry 20 E 6159 an. wt na2 e finite value. u thus converges then Eton an also cona2 SEDan Converges herce Ž Goh ni nzy 2). also converges. Ang co ENT ㅗ ht2 S an. n+2 n=1 an n+2 n3 6+3) - (142) (h+2)(n+3) 7lim lim an a ny ( mitte mi) hence, the series is Convergent. Ang a, 3 Cancels ouf a Az Š - Ś an 11 n72 NAB n Sn = E an ģ- I n

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