(a) Show that the derivative of { _1/x2 f(x) = ~ xyfO x=O exists and is continuous...
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(a) Show that the derivative of
{
_1/x2 f(x) = ~ xyfO x=O exists and is continuous on R with f' (0) = O.
(b) Do analogous statements hold for f(n)(x) when n = 2,3, ... ?
1iJ. This exercise is used in Sections 5.4, 6.3, and elsewhere.
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