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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.

Type
Research Article
Copyright
Copyright © Mathematical Association 1906

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References

page 306 note * The remainder formula (6), is new as far as I know.