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Calculation: Consider the series E 3n +3 Since, by the nth-Term test for convergence series. If lima, 0 then a, convergence. Thus, for the series,) V3n? the ith-Term will be: Compute the limit, lima, as shown below: lim - lim - lim Now, since the limit nth-Term is * * 0. So, by nth-Term test for divergence, Hence, the series diverges. V3n +3

Calculation: Consider the series E 3n +3 Since, by the nth-Term test for convergence series. If lima, 0 then a, convergence. Thus, for the series,) V3n? the ith-Term will be: Compute the limit, lima, as shown below: lim - lim - lim Now, since the limit nth-Term is * * 0. So, by nth-Term test for divergence, Hence, the series diverges. V3n +3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 63RE
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I'm confused this problem. I dont understand how it is reduced after the computing the limits. I dont understand where the n comes from in the denominator 

Convergence Table-1.pdf - Adobe Acrobat Pro DC (32-bit) M Modul nth ter W. Section * MindT E CalcCH P Reviev b Re X Sy sum fr G nth te + Edit View Sign Window Help A bartleby.com/solution-answer/chapter-93-problem-75e-calc. Paused Home Tools NEXT-GEN. Writing RuizWPSA. 9WPSAWO. Converge. x = bartleby Q Search for textbooks, step-by-step explanations to home E Ask an Expert 1 /1 72.1% Math / Calculus / Bundle: Calculus, 11th + WebAssign Printed Access Card for ... / Review In Exercises 69-80, determine the convergence or diver... Search tools | Review In Exercises 69-80, determine the convergence or divergence of the series. En = 1 o n 3 n2 + 3 Create PDF Calculation: SUMMARY OFTESTS FOR SERIES Combine Files Condition(s) Condition(s) Comment Consider the series Y Test Series of Convergence of Divergence Edit PDF n=1 V3n2 + 3 This test cannot bc used to show convergence. lim a, + 0 FEATURED nth-Term A Request Signatures Since, by the nth-Term test for convergence series. If lima, # 0 then an convergence. n=1 0 < |r| < 1 | 2 1 O Fill & Sign Geometric Series ar" Sum: S= Thus, for the series, the nth-Term will be: E Export PDF /3n² +3 Telescoping Series 2 (b, - b+1) lim b, = L Sum: S = b, - L n=1 Σ 0 < ps 1 EI Organize Pages an = p-Scries p > 1 Van?43 Compute the limit, lima, as shown below: Ž (- 1)-'a, 0 < a, +1 s a,. Remainder: Send for Comments Alternating Series and lim a, = 0 Integral (fis continuous, positive, and decreasing) lim = lim Remainder: Comment 3+2 fx) dx diverges 0 < Ry < f(x) dx converges a, = f(n) 2 0 Scan & OCR = lim lim la > I or Test is inconclusive when Root lim a < 1 lim la= 1. U Protect E oc Test is inconclusive when > or A More Tools lim Ratio lim < 1 lim = 1. = co Now, since the limit nth-Term is + 0. 0 < a, s b, 0 < b, s a, Direct Comparison3 (a, b, > 0) and b, converges and b, diverges So, by nth-Term test for divergence, lim = L > 0 lim = L >0 Limit Comparison (a, b, > 0) Hence, the series diverges. b, converges and and b, d n=1 V3n2 + 3 E Chapter 9.3, Problem 74E Chapter 9.3, Problem 76E > Your current plan is Creative Cloud X GET 5 FREE QUESTIONS Explore similar questions Learn More 红
Transcribed Image Text:Convergence Table-1.pdf - Adobe Acrobat Pro DC (32-bit) M Modul nth ter W. Section * MindT E CalcCH P Reviev b Re X Sy sum fr G nth te + Edit View Sign Window Help A bartleby.com/solution-answer/chapter-93-problem-75e-calc. Paused Home Tools NEXT-GEN. Writing RuizWPSA. 9WPSAWO. Converge. x = bartleby Q Search for textbooks, step-by-step explanations to home E Ask an Expert 1 /1 72.1% Math / Calculus / Bundle: Calculus, 11th + WebAssign Printed Access Card for ... / Review In Exercises 69-80, determine the convergence or diver... Search tools | Review In Exercises 69-80, determine the convergence or divergence of the series. En = 1 o n 3 n2 + 3 Create PDF Calculation: SUMMARY OFTESTS FOR SERIES Combine Files Condition(s) Condition(s) Comment Consider the series Y Test Series of Convergence of Divergence Edit PDF n=1 V3n2 + 3 This test cannot bc used to show convergence. lim a, + 0 FEATURED nth-Term A Request Signatures Since, by the nth-Term test for convergence series. If lima, # 0 then an convergence. n=1 0 < |r| < 1 | 2 1 O Fill & Sign Geometric Series ar" Sum: S= Thus, for the series, the nth-Term will be: E Export PDF /3n² +3 Telescoping Series 2 (b, - b+1) lim b, = L Sum: S = b, - L n=1 Σ 0 < ps 1 EI Organize Pages an = p-Scries p > 1 Van?43 Compute the limit, lima, as shown below: Ž (- 1)-'a, 0 < a, +1 s a,. Remainder: Send for Comments Alternating Series and lim a, = 0 Integral (fis continuous, positive, and decreasing) lim = lim Remainder: Comment 3+2 fx) dx diverges 0 < Ry < f(x) dx converges a, = f(n) 2 0 Scan & OCR = lim lim la > I or Test is inconclusive when Root lim a < 1 lim la= 1. U Protect E oc Test is inconclusive when > or A More Tools lim Ratio lim < 1 lim = 1. = co Now, since the limit nth-Term is + 0. 0 < a, s b, 0 < b, s a, Direct Comparison3 (a, b, > 0) and b, converges and b, diverges So, by nth-Term test for divergence, lim = L > 0 lim = L >0 Limit Comparison (a, b, > 0) Hence, the series diverges. b, converges and and b, d n=1 V3n2 + 3 E Chapter 9.3, Problem 74E Chapter 9.3, Problem 76E > Your current plan is Creative Cloud X GET 5 FREE QUESTIONS Explore similar questions Learn More 红
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