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46 1. Mathematical preliminaries
as Hence construct additive composite expansions.
(a) (b)
What do you observe about your composite expansion obtained in (b)?
Q1.23 Composite expansions II. See Q1.22; now, when they are defined, find the corre-
sponding multiplicative expansions. (You may wish to compare, by plotting the
appropriate functions, the original function and the two composite expansions.)
Q1.24 Estimate of error. See E1.16; find an estimate of the error in using this form of
the composite expansion.
