Expansion in Series

Brian Knight and Roger Adams
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Brian Knight: Goldsmiths’ College
Roger Adams: Thames Polytechnic

Chapter 9 in Calculus I, 1975, pp 61-66 from Springer

Abstract: Abstract The student is probably already familiar with the result that the sum of the infinite geometric progression: 1 + x + x 2 + x 3 + ... + x r + ... is equal to 1/(1 — x), as long as the common ratio x is numerically less than 1. We may thus write: 1 1 − x = 1 + x + x 2 + x 3 + ... + x r + ... ( | x | < 1 ) $$ \frac{1}{{1 - x}} = 1 + x + {x^2} + {x^3} + ... + {x^r} + ...\left( {\left| x \right|

Date: 1975
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DOI: 10.1007/978-1-4615-6594-9_9

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