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Homework) read the following mathematical steps of finding sum of series. ∞ Σ 2n = 1+2+4+8+16+ ... In=0 Let S = 1+ 2+4+8+16+ .... a S 12+ 4+8+16+ .... Multiply series a by 2 2S 2+4+8+16+.... S-1 2+4+8+16+.... subtract

Homework) read the following mathematical steps of finding sum of series. ∞ Σ 2n = 1+2+4+8+16+ ... In=0 Let S = 1+ 2+4+8+16+ .... a S 12+ 4+8+16+ .... Multiply series a by 2 2S 2+4+8+16+.... S-1 2+4+8+16+.... subtract

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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Homework) read the following mathematical steps of finding sum of series. Σ 2n = 1+2+4+8+16+ ···. 'n=0 Let S 1+2+4+8+16+ ... a S-1 = 2 + 4 + 8 + 16 + ... Multiply series a by 2 2S2+4+8+16+.... S-1=2+4+8+16+.... subtract S+1=0 S = -1 I What is the wrong step in this mathematical procedure? ■ Why this wrong procedure gives this answer S =-1?
Transcribed Image Text:Homework) read the following mathematical steps of finding sum of series. Σ 2n = 1+2+4+8+16+ ···. 'n=0 Let S 1+2+4+8+16+ ... a S-1 = 2 + 4 + 8 + 16 + ... Multiply series a by 2 2S2+4+8+16+.... S-1=2+4+8+16+.... subtract S+1=0 S = -1 I What is the wrong step in this mathematical procedure? ■ Why this wrong procedure gives this answer S =-1?
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