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[Python question: submit a print-out of your answer] We have shown that the harmonic series 1 diverges because its sequence of partial sums Sk = n=1 is unbounded above. Hence, given any MER, there exists some k EN such that Sk> M. By experimenting with Python, find the smallest k EN such that (a) sk > 4, (b) Sk > 8, (c) Sk > 12, (d) sk > 16.

[Python question: submit a print-out of your answer] We have shown that the harmonic series 1 diverges because its sequence of partial sums Sk = n=1 is unbounded above. Hence, given any MER, there exists some k EN such that Sk> M. By experimenting with Python, find the smallest k EN such that (a) sk > 4, (b) Sk > 8, (c) Sk > 12, (d) sk > 16.

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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2. [Python question: submit a print-out of your answer] We have shown that the harmonic series diverges because its sequence of partial sums $k = k n=1 n n=1 is unbounded above. Hence, given any MER, there exists some k EN such that Sk> M. By experimenting with Python, find the smallest kN such that (a) sk > 4, (b) Sk > 8, (c) Sk > 12, (d) Sk > 16.
Transcribed Image Text:2. [Python question: submit a print-out of your answer] We have shown that the harmonic series diverges because its sequence of partial sums $k = k n=1 n n=1 is unbounded above. Hence, given any MER, there exists some k EN such that Sk> M. By experimenting with Python, find the smallest kN such that (a) sk > 4, (b) Sk > 8, (c) Sk > 12, (d) Sk > 16.
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