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Find Hint: You may consider the following steps . Observe that and then show that • Show that • Compute n n4+n² + 1 nª + n² + 1 = (n² + 2n² + 1) − n² Sn = n k=1 n=1 = 8.-2²²--|(1-3.1.₁) = k4+k² + 8W n=1 n n² + n² + 1 1 1 1 2 n²n+1 n² +n +1 k n n4+n² + 1 +n + 1, = lim Sn n→∞

Find Hint: You may consider the following steps . Observe that and then show that • Show that • Compute n n4+n² + 1 nª + n² + 1 = (n² + 2n² + 1) − n² Sn = n k=1 n=1 = 8.-2²²--|(1-3.1.₁) = k4+k² + 8W n=1 n n² + n² + 1 1 1 1 2 n²n+1 n² +n +1 k n n4+n² + 1 +n + 1, = lim Sn n→∞

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find Hint: You may consider the following steps . Observe that and then show that • Show that • Compute η n4 + n2 + 1 nt +n? + 1 = (nt + 2n2 + 1) – n? = η Sn=Σ k=1 Σ n=1 – Σ n=1 n n4 + n2 + 1 1 2 1 1 n2 – n + 1 n2 + n + 1 k k4+k² + 1 = = 1/2 ( 1 - 1 ² + 1 ² + η n4 + n2 + 1 = n2 n 1 lim Sn n-100
Transcribed Image Text:Find Hint: You may consider the following steps . Observe that and then show that • Show that • Compute η n4 + n2 + 1 nt +n? + 1 = (nt + 2n2 + 1) – n? = η Sn=Σ k=1 Σ n=1 – Σ n=1 n n4 + n2 + 1 1 2 1 1 n2 – n + 1 n2 + n + 1 k k4+k² + 1 = = 1/2 ( 1 - 1 ² + 1 ² + η n4 + n2 + 1 = n2 n 1 lim Sn n-100
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