3. Even great mathematicians make mistakes. Euler used the formula ₁ = 1+x+x²+x³+…..11+xand 1 + 2 + 4 + 8 +... = −1 (by substituting in2to deduce that 1 - 1+1 − 1 + ...x = -1 and x = 2 respectively). What was his error?=

Sum of alternating ones And sum of Powers of two

Answered: 3. Even great mathematicians make…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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3. Even great mathematicians make mistakes. Euler used the formula 1 = 1+x+x²+x³ +... 1+x and 1+2+4+8+ ... = −1 (by substituting in to deduce that 1 - 1 + 1 - 1+.. x = -1 and x = 2 respectively). What was his error? =