Considering the following alternating series.k+1V7k + 6k=1a) An alternating series can be written asE(-1)*-1 br or D(-1)* br, wherek=1k=1br > 0. Find bị for the given series.b) Using bị, from part a) find lim b. If the limit is infinite, type infinity or-infinityas appropriate. If the limit does not exist and is not infinity, type DNE.Limit

Answered: Image /qna-images/answer/96f1396b-4f39-4a37-94c5-7107ea63dda5.jpg

Answered: Considering the following alternating…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". lim n→∞ 12+2 arctan(n) 15"
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2. Determine the limit of the following sequences or state if the sequence diverges. Use the technique in square brackets. TL (i) Igeometric sequence] an = „()- (ii) a, = 11 + [limit laws] 15 n2 12n2 - n+1 n2 – 6 (iii) an [limit laws]
Let r = 14. For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr² = n→∞0 B. Take my word for it that it can be shown that Now consider the series Σ n=1 nr. = n=1 nr. iri ² − (n + 1)pn+¹ + r (1-r)² npr+2

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