Show that the following functions belong to R*[O, 1] by finding a function Fk that is
Chapter 10, Problem 7(choose chapter or problem)
Show that the following functions belong to R*[O, 1] by finding a function Fk that is continuouson [0, 1] and such that F~(x) = Ik(x) for x E [0, 1] \ Ek, for some finite set Ek'(a) II (x) := (x + 1)/.jX for x E (0, 1] and II (0) := O.(b) Iz(x):= x/.Jf=X for x E [0, 1) and Iz(1) := O.(c) 13(x):= .jXlnx for x E (0, 1] and 13(0) := O.(d) 14(x):= (lnx)/.jX for x E (0, 1] and 14(0) := O.(e) 15(x):= .J(1 + x)/(1 - x) for x E [0, 1) and 15(1) := O.(f) 16(x):= 1/(.jX.J2 - x) for x E (0, 1] and 16(0) := O.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer