Question
33.11 Let f(x) = x sgn(sin 1/x ) for x /=0 and f(0) = 0. (sgn(x)= x/abs(x)) (a) Show f is not piecewise continuous on
33.11 Let f(x) = x sgn(sin 1/x ) for x /=0 and f(0) = 0. (sgn(x)= x/abs(x))
(a) Show f is not piecewise continuous on [1, 1].
(b) Show f is not piecewise monotonic on [1, 1].
(c) Show f is integrable on [1, 1].
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An Introduction to the Mathematics of financial Derivatives
Authors: Salih N. Neftci
2nd Edition
978-0125153928, 9780080478647, 125153929, 978-0123846822
