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1. Determine whether each of the sequences below converges or diverges. If it converges, find the limit. 2n-3n³ +1 5n-2n-3 a. t₁ = a. n=1 In(7+2e²") n d. Σ (π-1)" 22+3 1 n=1 n(n+1) 2. Determine if the series is convergent or divergent. If it is convergent, find its sum: 20 n=0 √5" ¶n(n+2) n=1(n+3)² 9 27 g. 4+3+-+- +... 4 16 b. a = cos(- b. Ž- 2n n=1 5 e. 1+0.5" 2" 1 -) c. t₁ = C. f.ek -4k-5 3k-1 k=0 2 1 2 1 2 + h. + + + + 3 9 27 81 243 729 +... 3. Find Taylor's series for f(x) centered at the given point a, as well as the associated radius of convergence: f(r)-2c0r², -12

1. Determine whether each of the sequences below converges or diverges. If it converges, find the limit. 2n-3n³ +1 5n-2n-3 a. t₁ = a. n=1 In(7+2e²") n d. Σ (π-1)" 22+3 1 n=1 n(n+1) 2. Determine if the series is convergent or divergent. If it is convergent, find its sum: 20 n=0 √5" ¶n(n+2) n=1(n+3)² 9 27 g. 4+3+-+- +... 4 16 b. a = cos(- b. Ž- 2n n=1 5 e. 1+0.5" 2" 1 -) c. t₁ = C. f.ek -4k-5 3k-1 k=0 2 1 2 1 2 + h. + + + + 3 9 27 81 243 729 +... 3. Find Taylor's series for f(x) centered at the given point a, as well as the associated radius of convergence: f(r)-2c0r², -12

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 71E
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Solve problem 1 with explanation please. Thank you
1. Determine whether each of the sequences below converges or diverges. If it converges, find the limit. c. t₁ = 2n²-3n³+1 5n-2n-3 a. t₁ = a. n=1 In(7+2e2ny n 2. Determine if the series is convergent or divergent. If it is convergent, find its sum: (7-1)" 2"+3 20 n(n+2) d. - 1 n=1 n(n+1) 9 27 g. 4+3+ + +... 4 16 b. a = cos(- b. Ž- e. h. n=0 √5 n=1 2n :-) 5 1 3 1+0.5" 2" 2 1 + + + + 2 1 9 27 81 243 + C. co Σ n=1(n+3)² 00 f. Σ k=0 2 729 + ek - 4k-5 3k-1 3. Find Taylor's series for f(x) centered at the given point a, as well as the associated radius of convergence: f(x) 2000² T12
Transcribed Image Text:1. Determine whether each of the sequences below converges or diverges. If it converges, find the limit. c. t₁ = 2n²-3n³+1 5n-2n-3 a. t₁ = a. n=1 In(7+2e2ny n 2. Determine if the series is convergent or divergent. If it is convergent, find its sum: (7-1)" 2"+3 20 n(n+2) d. - 1 n=1 n(n+1) 9 27 g. 4+3+ + +... 4 16 b. a = cos(- b. Ž- e. h. n=0 √5 n=1 2n :-) 5 1 3 1+0.5" 2" 2 1 + + + + 2 1 9 27 81 243 + C. co Σ n=1(n+3)² 00 f. Σ k=0 2 729 + ek - 4k-5 3k-1 3. Find Taylor's series for f(x) centered at the given point a, as well as the associated radius of convergence: f(x) 2000² T12
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