1. Analyze each of the given series. If a series diverges, give reasons why; if it converges, either - give the exact value it converges to, or - provide an error estimate in approximating the sum with the 10th partial sum. 1.1. ( k=0 k 1.2. E k=1 30k-20 00 1.3. Σ 2 k=1 k3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Analyze each of the given series. If a series diverges, give reasons why; if it converges, either
- give the exact value it converges to, or
- provide an error estimate in approximating the sum with the 10th partial sum.
1.1. (
00
k=0
1.2. E
k
k=1 30 k-20
00
1.3. Σ2
k=1 k
00
1.4. E e-2 k
k=0
00
1.5. Σ(-1)
k=0
1.6.
Σ
k=53 k²-1
(x+3)"
O (n+1)3n+1
Consider the power series p(x) = E
Transcribed Image Text:1. Analyze each of the given series. If a series diverges, give reasons why; if it converges, either - give the exact value it converges to, or - provide an error estimate in approximating the sum with the 10th partial sum. 1.1. ( 00 k=0 1.2. E k k=1 30 k-20 00 1.3. Σ2 k=1 k 00 1.4. E e-2 k k=0 00 1.5. Σ(-1) k=0 1.6. Σ k=53 k²-1 (x+3)" O (n+1)3n+1 Consider the power series p(x) = E
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