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Analyze the following "proof". 0=0+0+0+... = (1 − 1) + (+1 − 1) + (+1 − 1) + ... = 1 + (−1 + 1) + (−1 + 1) + (−1 + 1) + ... = 1+0+0+0+... = 1 Can you identify the invalid step(s)? What can you conclude from this example?

Analyze the following "proof". 0=0+0+0+... = (1 − 1) + (+1 − 1) + (+1 − 1) + ... = 1 + (−1 + 1) + (−1 + 1) + (−1 + 1) + ... = 1+0+0+0+... = 1 Can you identify the invalid step(s)? What can you conclude from this example?

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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11. Analyze the following "proof". 0=0+0+0+... = (1 - 1) + (+1 − 1) + (+1 − 1) +... = 1 + (−1+1) + (−1+1) + (−1+1) + ... = 1+0+0+0+... = 1 = Can you identify the invalid step(s)? What can you conclude from this example?
Transcribed Image Text:11. Analyze the following "proof". 0=0+0+0+... = (1 - 1) + (+1 − 1) + (+1 − 1) +... = 1 + (−1+1) + (−1+1) + (−1+1) + ... = 1+0+0+0+... = 1 = Can you identify the invalid step(s)? What can you conclude from this example?
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