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The Discussion of Certain Power-Series
Published online by Cambridge University Press: 03 November 2016
Extract
I Quite agree with Mr. Hardy (Gazette, vol. 3, p. 284) in his contention that the real basis of the power-series for sin x; and cos x is given by the two equations
But I am inclined to doubt whether at present the difficulties of exposition will not outweigh the advantages of his method (iii); and for this reason the following method may be worth considering, although it is a fairly obvious modification of my previous note (Gazette, vol. 3, p. 85). The only preliminary knowledge implied is that of the elementary differential calculus, and of Argand’s diagram.
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- Copyright © Mathematical Association 1906
References
page 306 note * The remainder formula (6), is new as far as I know.