Зn? — 2 1. Given the series n=1 Vn8 + n³ + n + 4° Зп? — 2 (a) Let an = Define a series b, with which to compare it. Vn8 + n³ + n + 4 (b) Plot the first 50 terms of an and b, on the same graph to...


Зn? — 2<br>1. Given the series<br>n=1 Vn8 + n³ + n + 4°<br>Зп? — 2<br>(a) Let an =<br>Define a series b, with which to compare it.<br>Vn8 + n³ + n + 4<br>(b) Plot the first 50 terms of an and b, on the same graph to determine which is<br>larger. If the graph is not clear, use the logical test a, < b, to test the logical<br>value comparing each term.<br>(c) State whether b, converges or not (you should be able to tell by looking), and<br>n=1<br>state whether any conclusion can be made about the convergence of , as a<br>n=1<br>result.<br>(d) If (c) is inconclusive, determine whether<br>an<br>converges or not, and state your<br>conclusion about the convergence of an (NOTE: If you still cannot conclude<br>n=3<br>anything, start over with a different b,!)<br>

Extracted text: Зn? — 2 1. Given the series n=1 Vn8 + n³ + n + 4° Зп? — 2 (a) Let an = Define a series b, with which to compare it. Vn8 + n³ + n + 4 (b) Plot the first 50 terms of an and b, on the same graph to determine which is larger. If the graph is not clear, use the logical test a, < b,="" to="" test="" the="" logical="" value="" comparing="" each="" term.="" (c)="" state="" whether="" b,="" converges="" or="" not="" (you="" should="" be="" able="" to="" tell="" by="" looking),="" and="" n="1" state="" whether="" any="" conclusion="" can="" be="" made="" about="" the="" convergence="" of="" ,="" as="" a="" n="1" result.="" (d)="" if="" (c)="" is="" inconclusive,="" determine="" whether="" an="" converges="" or="" not,="" and="" state="" your="" conclusion="" about="" the="" convergence="" of="" an="" (note:="" if="" you="" still="" cannot="" conclude="" n="3" anything,="" start="" over="" with="" a="" different="">

Jun 04, 2022
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